Mahler's $Z$-number problem in its generalized form
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717 records
Nontriviality of number-restricted arithmetic over subDMQ
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Normality of a sum of two Stoneham constants
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The Hilbert transform-UMD dependence problem
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Binary normality of a localized logarithm value
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Minimum-Rank and Mortality Bounds for Finite Real Matrix Monoids
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Finite-time blowup for the IPM equation with a uniformly space-time smooth force
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Sharp Finite Markov Order in Intrinsic Sofic Dimension
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The ceiling of the single-letter entropy method for the union-closed sets conjecture
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Finite-time blowup for the 3D incompressible Euler equations with smooth forcing
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Finite-time blowup for the inviscid Boussinesq system with smooth forcing
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An improved lower bound for the Shannon capacity of $C_{11}$
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Erdős Problem #1221
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Reciprocal Fermat Constant is Nonnormal
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Reciprocal-triple-free sets: the finite plateau at 732
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Lower bound for the complex Grothendieck constant
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The Erdos-Borwein Constant is 2-Dense
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Koizumi–Liu Eventual Sign Alternation Conjecture
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A 44-vertex triangulation of $\mathbb{RP}^{6}$
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Optimality of the added-vector code in the 19-dimensional kissing construction
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Does there exist a bijection of $\mathbb{R}^n$ to itself such that the forward map is connected but the inverse is not?
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The γ–θ conjecture in eternal domination
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Navier–Stokes Millennium Prize problem: finite-time breakdown with smooth forcing
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The Ibragimov–Iosifescu conjecture for φ-mixing sequences
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Bollobás–Nikiforov conjecture
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Cycle-residue stability at minimum degree five
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The proper hat-guessing number of $K_8-e$
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Prime Gaps at Most 186
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A new bound for small gaps between primes: $H_1 \le 212$
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The proper hat-guessing number of $K_7-e$
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Smale’s Mean Value Conjecture ($K=1$)
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Improved maximal prime-gap lower bound
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Absence of critical Bernoulli bond percolation on $\mathbb Z^d$ in every dimension $d \ge 2$
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Conway's Refinement Conjecture for Omnific Integers
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Köthe Conjecture
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The proper hat-guessing number of $K_6-e$
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The Daykin–Frankl conjecture on convex subsets of the Boolean lattice
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Anari's Bethe permanent conjecture
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Depth-1 distinctness for pseudorandom unitaries
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The proper hat-guessing number of $K_5-e$
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Logarithmic basis number of graphs
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A Smooth Counterexample to the Trautman Conjecture
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A Quantum Oracle Separation Between $\mathsf{QMA}(2)$ and $\mathsf{QMA}$
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Interior Curvature Estimates for the Graphical Scalar Curvature Equation in All Dimensions
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Common Neighbour Conjectures for Saxl Graphs
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Bounded prime gaps: $H_1 \le 236$
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Measures on Partial Orders
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Exact rank and Smith profile of affine incidence over $\mathbb Z/p^3\mathbb Z$
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McKean Entropy-Production Conjecture
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Four-uniform case of Morris’s conjecture: $\mathrm{FC}(4,n)=\Theta(n^2)$
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Erdős matching conjecture: the four-uniform case
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A Counterexample to the Stable Forking Conjecture
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$(\xi\alpha^n)_{n\ge1}$ is not uniformly distributed modulo one for Pisot $\alpha$ and $\xi$ in the Cantor set $C(\alpha)$
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Unrestricted Boolean multiplicative complexity of four-term binary polynomial multiplication
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A complex structure on $S^2\times S^4$
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Improving Randomized Metric Distortion to 2.3282
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Dean's conjecture for $k=5$
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Erdős Problem #126: prime divisors of pairwise sums
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Erdős Problem #74: locally almost bipartite graphs of infinite chromatic number
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Non-MF groups and non-finite full group C*-algebras
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Erdős Problem #1: sum-distinct sets
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Supporting affine functionals for Entanglement of Formation
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Large systoles in every sufficiently large genus
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The Lyons–White conjecture: rate-monotonicity of $\ell^{2m}$ distances for random walks on dihedral groups
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Failure of Higher-Order Truth within Intuitionistic Propositional Logic
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An Exact All-Width Plateau for the Three-Summand Tu-Deng Count modulo $2^k-1$
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Graffiti Conjecture 806
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Erdős Problem #571: rational exponents for bipartite Turán numbers
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Rapid mixing for spin systems on graphs of girth at least five
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Erdős Problem #548: the Erdős–Sós conjecture
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Exact rank and Smith profile of affine incidence over $\mathbb Z/p^2\mathbb Z$
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Sparse domination implies convex body domination
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Fröberg’s conjecture for quintics and septics in four variables
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A tilted residue-class construction for long prime-free intervals
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Equivalence of generic stability notions for Keisler measures
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Entropy of Bernoulli Measures Conditioned on Affine Subspaces and a Problem of Ancheta-Massey
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The $(3,4,\infty)$ Modular Family of 2-Tori as a Complex Structure on $S^6$
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Nevanlinna’s half-plane omitted-values problem
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A Rank-$31$ Record for an Elliptic Curve over $\mathbb{Q}$
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Haglund's Zero-Trajectory Conjecture for the First Riemann Xi Approximant
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Transcendence in the affine case of Erdős Problem 270
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Problem 3 of Dubickas (2006): Is $\sqrt{3} \in \mathcal{Z}$?
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Bounded mass property for compact complex manifolds
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The stable commutator length of a relator is not a one-relator group invariant
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Record Rank for an Elliptic Curve over $\mathbb{Q}$
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Smooth Random Fast Dynamo on the Three-Torus
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Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region
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The Fractional Colouring Conjecture for Triply Efficient Pauli Shadow Tomography
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The 4-color Rado number of x+y+c=z: general case
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The $C^\infty$ Carathéodory Conjecture on Umbilic Points
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The DeLaViña–Waller conjecture on the Wiener index
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A Conjecture on Triple Counts for the Kasami APN Function
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Erdős Problem #501: infinite independent sets for families of small outer measure
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The Kára–Pór–Wood Big-Line-Big-Clique Conjecture: Four Collinear Points or a Six-Clique
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Counting Linear Extensions Below the $2^n$ Barrier
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Separation Between the Ordinary and Strong Kreiss Constants
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Stein’s dimension-free weak-(1,1) Riesz transform problem
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Fourth-moment conjectures for Rademacher sums
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Colombo’s difference-power determinant conjecture
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The Matrix Multiplication Exponent
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A 32-leaf tree requiring six coordinates for an isometric $\ell_\infty$ embedding
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Talagrand’s convolution conjecture
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Composites Among $[\xi 7^n]$ and Right-Truncatable Primes in Base 7
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Neuen-Grohe Problem: Isomorphism of Tournaments with Bounded VC Dimension
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Score-Determined Induced Tournament Statistics: an All-Orders Classification
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Lorist-Schwenninger Remark 2 positivity question
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The 4-Color Rado Number of $x+y+c=z$: $R(c)=40c+41$ Whenever $c+1$ Is Divisible by 3, 4, 5 or 7
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Sivaraman's Perfect-Divisibility Characterization Question
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Convergence of Three-Block ADMM with Identity Third Block
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Exact order-three ambiguity of the Einstein-Maxwell-dilaton coupling $a^2$ in metric jets, and its fourth-order collapse
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Pavez-Signe's Length-Control Question for Spanning Subdivisions
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The Cone Theorem for Effective Fourfold Pairs in Characteristic $p > 5$
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The Quartic Hessian Conjecture in Dimension Four
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Tarizadeh's Conjecture on the Maximality of Purely-Prime Ideals
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Reading's Problem 9.3: Order Dimension Versus Rank for Simplicial Arrangements
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Kusner's Conjecture on Equilateral Sets in $\ell_p^n$
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$SOP_2 = SOP_3$
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Universal volume growth bounds from positive intermediate curvature
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The Foregger–Sinkhorn Tie-Point Conjecture
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Courtade's conjecture on volumes of Minkowski sums with the ball
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Every PPT channel has finite entanglement-breaking index
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Nineteen exact reflective and dihedral Ramsey numbers from Damnjanovic-Dordevic's tables
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1.17353 planar lower bound and exact local envelopes for cost-preserving single-source unsplittable flow
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The Radchenko–Viazovska question on Fourier interpolation
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Banach's isometric conjecture
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Unbounded variation solutions for uniformly elliptic equations in nondivergence form in dimension three
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Dihedral Ramsey numbers of the alternating a-path versus K_b, for every a >= 4: 1 + (a-1)(b-1)
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Word-length spectral triples as compact quantum metric spaces
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Dihedral and cyclic Ramsey numbers of the alternating 3-path
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Treglown's equitable acyclic colouring conjecture
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Phelps–Rodriguez Conjecture
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The $(2,1)$-Gapped Consecutive-Ones Property Problem is NP-complete
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Hadamard Matrix of Order 668
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Gamow liquid-drop minimizer conjecture
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Strong Graph Reconstruction Conjecture
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Seymour's Second Neighborhood Conjecture
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Lower Bounds for Stepsize-Based Acceleration of Gradient Descent
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Albertson–Berman Induced Forest Conjecture
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The Second Computational Chomp Challenge of Ekhad and Zeilberger
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The Planar Steklov Analogue of Kac's Question
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Conjectures 2a and 2b of Kauers and Zeilberger
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Predicting Diagonalizability of a Mean Matrix
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The First Rigorous Solid Standard Young Tableaux Challenge
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The Five-Dimensional Geode Challenge of Amdeberhan, Kauers and Zeilberger
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Spahn and Zeilberger's Third Challenge: Holonomicity of the Restricted Permutation Counts
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Lions' Maximal Regularity Problem at the Half-Holder Endpoint
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Makeev's conjecture on universal cover
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Bounded Oracle Error in Nonconvex Stochastic Optimization
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The Hyperkahler Period-Index Conjecture
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The Imbalance Conjecture
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The Ellipsoid Fitting Conjecture
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The Proportion of Zeta Zeros on the Critical Line
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Teschner's Bondage-Number Conjecture
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pth-Order Oracle Complexity for Monotone Variational Inequalities
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The Kim-Roush Conjecture on the Maximum of per(I-A) in Odd Order
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The Planar Berenstein Conjecture
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Finite-Copy Distillability of NPT States in the DiVincenzo Family
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Matrix-Tree Obstruction for Half-Collinear Graviton Vertices
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Talagrand's critical Sherrington-Kirkpatrick overlap conjecture
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Whether Amenability of an Algebra Depends on the Ground Field
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Polynomial-Time MIMO Detection at the ML Threshold
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Complete rational classification of fifth-order autocorrelation ambiguities on $U_{30}$
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A counterexample to the Howland-Kato problem for positive commutators
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The Umans-Wang Arithmetic-Progression Divisor Conjecture
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The Anstee-Sali Conjecture on Forbidden Configurations
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The Chen-Lawrencenko Conjectures on Cyclic Colorations
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Log-Submodularity of Zonoid Volume
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Facial Distance Patterns in Planar Graphs
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The Inverse Generator Problem on Hilbert Spaces
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Absolutely Maximally Entangled States in Five Open Cases
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The Huang-Jiang-Oblomkov Conjecture at a = 3
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Balanced EF1 and fPO Allocations
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The Gardner Transition in the Ising pure $p$-spin glass
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Central limit theorem for the random assignment problem
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Tuza's Conjecture for Maximum Degree at Most Seven
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Dittert's Conjecture in Dimension Five
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Babai's Minimal Cayley Graph Problem
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Approximate Counting for Spin Systems on Planar Graphs
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The Generalized Busemann-Petty Problem in Dimensions 2 and 3
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Sendov's Conjecture
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The Approximation Ratio for Boolean Max-k-CSP
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The Generalized Vanishing Conjecture
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The Divisible Rank-Three Case of the Kajitani–Ueno–Miyano Conjecture
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Lower Bounds for Multivariate Independence Polynomials
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Gabor Frames of Totally Positive Functions
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Tight Bound for Online Vertex Cover under Edge Arrivals
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HRT Conjecture
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Rivière’s regularity question for critical $n$-Laplace systems with antisymmetric potentials
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Completeness of Maximally Entangled States for Pseudo-Telepathy
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Nazarov's Conjecture on Truncations for Fractional Laplacians
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Schiffer's Conjecture and the Pompeiu Problem
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Problem MAIS-O60: Single-Neuron Fourier Alignment
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The Middle Stair of Parallel Chip-Firing
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Signed Depth Relevance of subDL
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Perfectly Complete Quantum Key Agreement from One-Way Functions
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Finite Generation for klt Generalized Pairs
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Uniform Székelyhidi conjectures for complex Hessian equations on projective manifolds
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Real-Rootedness of Ehrhart h*-Polynomials at Large Width
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Exact SSUF scenario-count ladder on the four-terminal planar gadget
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The Bandelt-Dress Quartet Distance Conjecture
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The Period-Index Conjecture
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Asymptotically attaining the Moore bound
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The Axiotis-Sviridenko Condition-Number Conjecture
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Autonomous Lipschitz Fast Dynamo on the Three-Torus
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Kalton-Peck Space and its Hyperplanes
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Written on the Wall II, Graph Conjecture 144
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Sharpness of Denjoy's Theorem
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Graffiti's Residue Problem for Common-Divisor Graphs
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The Simonovits Product Conjecture
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The Mihail-Vazirani Conjecture
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Approximating Two-Terminal Network Reliability
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Connes' Rigidity Conjecture for ICC Property (T) Groups
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Hoa's Conjecture on Maximal Non-Hamiltonian Graphs
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Written on the Wall II, Graph Conjecture 322
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The Equality Case of Ehrhart's Volume Conjecture
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Upper Bounds for High-Dimensional Sphere Packing
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Erdős Problem #183: Multicolor Triangle Ramsey
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Two-Variable Factorial Conjecture
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Erdős Problem #146: Degeneracy Conjecture
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Ehrhart's Volume Conjecture
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Connes' Rigidity Conjecture
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Erdős Problem #180: Compactness Conjecture
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Lower Bounds for the Permanent in Arithmetic Circuits
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Gromov and Weiss's Question on Sofic Groups
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Quantum Parallel Repetition
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Upper Bounds for Binary and Spherical Codes
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Polynomial-Factor Hardness for the Closest Vector Problem
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Finitude of the Fibers of Complementary Bell Numbers
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Ehrhart Positivity of Schubitopes
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Local limits along squares and prime values of digital functions
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Minimum reverse-complement-invariant decycling sets
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An Erdős–Kac law for base-$b$ palindromes and for reversed primes
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Prime values of digital functions along the primes
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Improved integrality of Donaldson–Thomas invariants of loop quivers (GKS Conjecture 1.3 for twist knots)
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Han's Conjecture
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1.28249... Lower Bound and Partial Upper Bounds for Cost-Preserving Single-Source Unsplittable Flows
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Pólya's Conjecture for Neumann Balls in Dimensions Three and Higher
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Online Shadow Tomography Matching the Classical Bounds
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Record Lower Bounds for the Shannon Capacity of Odd Cycles
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The Integer Domination Root Conjecture
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Sharp Hardness for MAX-3-CUT
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The Han-Xiong Integer Trace Conjecture
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Signature of Connected Line Graphs
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The Tu-Deng Conjecture
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The Dimer Constant of the Cubic Lattice
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Maxwell's Three-Charge Equilibrium Bound
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Graffiti Conjecture 6
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Written on the Wall II, Graph Conjecture 217
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Sombor-Energy Conjecture
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Non-Covering Congruence Systems over Fq[x]
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Local Cohomology Modules With Nonclosed Support
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The Modified Lyons–Sidorova Conjecture for Bounded-Variation Paths
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Erdős Problem #106
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Lami-Regula Conjecture on Entanglement Irreversibility
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Written on the Wall II, Conjecture 284
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Fuglede's Conjecture on Square-Free Cyclic Groups With Rapidly Growing Primes
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Optimal Partial Plank Coverings
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Huneke-Wiegand Conjecture
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Bosonic Quantum Communication Beyond the Thermal Threshold
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Twelve Common Flex Lines in a General Pencil of Cubics
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Completeness of Fixed-Order Atom-Centered Descriptors
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The Lukic Conjecture
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Optimal Exponent Relating Sumsets and Difference Sets
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Sharp Bounds on the Ground State Energy of the SYK Model
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Mixed Partition Functions and Exponentially Bounded Edge-Connection Rank
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Maxwell's Conjecture on Point-Charge Equilibria
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Positivity on Deligne–Mumford Stacks Without the Torsion-Free Hypothesis
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Tournaments Determined by Three and Five Voters
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Improved Bounds for Distinct Multiples in Intervals
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Boucksom's Local Analytic Bertini Conjecture
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Martinsson-Steiner Conjecture on Fractional Chromatic Number
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Stanley's Problem 4 on Differential Posets
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Written on the Wall II, Graph Conjecture 109
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Bondal-Polishchuk Conjecture for a Smooth Projective Variety
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Existence of Bipartite Bound Information
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The 4^k Barrier for the k-Distinct Language
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General Position for Planar Line Arrangements and $HD_2(p,3)$
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Monotone Slowdown of Turbulent Flame Speed under Curvature
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Kemeny Rank Aggregation for Three Voters
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Probabilistic Automatic Complexity Is At Most Three
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Stanley's Rankwise Lower-Bound Conjecture for Differential Posets
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Crouzeix's Conjecture
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KLS Conjecture for Quadratic Forms
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Unimodality of Kazhdan-Lusztig Polynomials of Matroids
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Infinitely Many Components in Auslander–Reiten Quivers over Perfect Fields
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The Hall-Ho Heat Flow Conjecture for Random Matrices
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Bellman's Lost-in-a-Forest Problem for the Golden Gnomon
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Chafai-Dadoun-Youssef Questions on Logarithmic Energy Monotonicity
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Kinetic Trace Estimates in the Gaussian Model
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Sharp Continuity Bound for Quantum Conditional Entropy
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Kuperberg's Six-Cylinder Conjecture
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Feige's Conjecture
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Brezis's Open Problem 5.6 on Universal Fourier Summation
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Explicit Presentation of the 2-adic Absolute Galois Group
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The Covering Number $C(12,6,4)$
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Powers of the Vandermonde Determinant Are Eventually Non-SNP
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Zero Forcing versus Independence in Subcubic Graphs
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Carrasco's Conjecture on the O'Shea-Zames-Falb Test
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Carlson's Associated-Prime Depth Conjecture
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Djament's Problem on Locally Noetherian Grothendieck Categories
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Erdős Problem #684
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Černý Conjecture for One-Cluster Automata
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Erdős Problem #768
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The Graveyard Problem for Dissipative Barrier Truncations
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Rota's Unimodality Conjecture for Matroid Flats
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Strichartz-Tse $L^p$-Integrability on the Sierpinski Gasket
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Erdős Problem #131
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Minimum Sparsity of S-Decoding Polynomials
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Depth of the in-tree of $s$ under $q \mapsto q s q^{-1}$ on $n$-cycles
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A Five-Variable Counterexample to the Hessian Conjecture
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Ghasemi-Kopparty Problem on Sparse $S$-Decoding Polynomials
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Reiner's Conjecture on Higher Bruhat Orders in Corank 3
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Monical's Saturated Newton Polytope Conjecture
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Two-Copy Distillability of Werner States
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Araujo-Piga-Schacht Question on Tight Hamilton Cycles
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Commutator Relators Do Not Force Hopficity, Residual Finiteness or Automaticity
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Petersen Coloring Conjecture
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Erdős Problem #593
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Four-Terminal Planar Case of the Dinitz-Garg-Goemans Cost Conjecture
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Stanley's Claw-Free Schur-Positivity Conjecture
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Erdős Problem #1177
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Unconditional One-Bit Unclonable Encryption
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Uniqueness of the Faber–Krahn Position of Convex Bodies
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The Liu-Morin Extension Conjecture
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Dual Sequential Fat-Shattering and Tight Threshold Extraction
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The Target-Free Clique Conjecture for Threshold-Linear Networks
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The Separable Jacobian Conjecture in Characteristic 2
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WOWII Conjecture 72: Two induced trees pin down tree($ G $)
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Spectral Edge of the Quartic SYK Model
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Dinitz-Garg-Goemans Conjecture
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An Explicit Counterexample to the Rank-Two Poisson Conjecture
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Stability Radius of the Lamplighter Group
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The Polynomial-Time Low-Degree Conjecture
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Improved Bound for Colorings Without Symmetrically Colored k-APs
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The Minimal Distance Problem
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Written on the Wall II, Graph Conjecture 103
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Levit–Mandrescu Unimodality Conjecture
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Graffiti Conjecture 284
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Nikolov-Ullman Pure-DP Query Release Conjecture
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$e$-Log-Concavity of Chromatic Quasisymmetric Functions
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Dittert's Conjecture in Dimension 16
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Strong Log-Concavity of Chernoff's Density
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Norine's Antipodal-Colouring Conjecture
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Counterexamples to the xz-Conjecture and the Mathieu Conjecture for SU(2)
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Pak-Slonim Conjecture on Stretched Schubert Structure Constants
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Johnson-Freyd-Ostrik-Yu Question on Categorical Cocycles
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Written on the Wall II, Graph Conjecture 143
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Boots-Royle/Cao-Vince Conjecture on Planar Spectral Radius
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Erdős Problem #469
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The mod 4 Kawauchi Conjecture
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Batyrev's Stringy Hodge Number Conjecture
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Kourovka Problem 21.150 - Rank Inequality for p-Group Extensions
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Universal Multiplicative FDR Bound for Benjamini-Hochberg
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Kourovka Problem 20.125 - Noninjective Rota-Baxter Operator
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Kourovka Problem 21.24 - Cograph Power Graphs Are Chordal
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The Virtual Surjection Conjecture for Discrete Groups
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Kourovka Problem 3.46 - Maximal Locally Soluble Normal Subgroups
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Kourovka Problem 21.8 - Horizontal Class Transpositions
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Optimality of Greedy for Single-Pass Semi-Streaming Matching
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Full-RSB in the Sherrington–Kirkpatrick spin glass
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Kourovka Problem 21.147 - Relatively Convex Subgroups
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Gaussian Moments Conjecture
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Kourovka Problem 18.50 - Prescribed Permuted-Product Cardinality
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Erdős Problem #424
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Gaussian product inequality conjecture
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Kourovka Problem 19.25 - Totient Sums and Simplicity
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Jacobian Conjecture
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Completeness of Canonical Closure Representations Is coNP-Complete
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The Toroidal Elton–Odell Theorem
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Primariness of the Mixed-Norm Space $L_p(L_1)$
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Weakly Compact Factorization Through a Space With a Basis
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Strict Cosingularity and Adjoints for Separable Range
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A Unital Banach Algebra That Is Not a Calkin Algebra
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Erdős Problem #390: the second-order constant for $f(n)-2n$
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Kaul-Mudrock Conjecture on the Unlabeled List Color Function
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Ji-Zhang Question on the Power Set of a Quasinilpotent Operator
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Online Spencer Vector-Balancing Question
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Complexity of Terminal-Only Manhattan Prim-Dijkstra Routing
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Fulek's Question on the Extremal Function of $L_3$
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The Homogeneous Polynomial Lyapunov Converse Conjecture
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Feige's Hypergraph Moore-Bound Conjecture
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Belinskaya's Theorem for Measure-Preserving Flows
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The Abbott-Hanson Recurrence for Schur Numbers
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The Order of Long Rainbow Arithmetic Progressions
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Erdos-Graham Question on Averages of Unit Fractions
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Gao-Huo-Ma Question on Cycle Lengths in Critical Graphs
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The Small Davenport Constant of the Heisenberg Group of Order 125
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Cutoff for Kac's Walk on the Sphere
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Quantum Memory Advantage for Process Tomography
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The Weak Simplex Conjecture
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Record Compositions of Alternating Permutations
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Oracle-Complexity Gap in Derivative-Free Convex Optimization
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A Universal Leading-Residue Formula for Witten Zeta Functions
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Sabidussi's Compatibility Conjecture
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Brualdi's Question on Hamiltonicity of Interchange Graphs
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Thakur's Conjecture on Carlitz-Wieferich Primes
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Erdős Problem #254
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Erdős Problem #584
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Benjamini-Hochberg FDR Under Correlated Gaussian Tests
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Erdős Problem #769
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Erdős Problem #394
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Erdős Problem #130
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Erdős Problem #959
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Erdős Problem #709
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Erdős Problem #538
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Optimal Chain Density and Space-Time Tradeoffs for the TSP
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Krauth-Mezard Storage Capacity of the Ising Perceptron
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Erdős Problem #267
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Erdős Problem #1189
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Erdős Problem #450
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Erdős Problem #489
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Two Counterexamples in the Geometry of Numbers
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Ross's Two Conjectures on Nondeficient Numbers
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Erdős Problem #336
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Erdős Problem #1188
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Erdős Problem #1186
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Type-D ASEP Tracy-Widom Marginals
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Erdős Problem #796
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Erdős Problem #662
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Tightness of the Cohn-Elkies Bound in Dimension 36
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The Classical Smith-Ward Problem
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Counting Fixed Cycles in Graphs with Bounded Circumference
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The Coxeter Code Minimum Distance Conjecture
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Elizalde-Luo Pattern-Avoidance Conjecture
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Grothendieck's Finite Flat Group Scheme Order Question
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Klopp-Zadik Question on Polynomial-Time Node-Private Recovery
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Worst-Case Complexity of Shellsort with Tokuda's Gap Sequence
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New Bounds for Double Covers of the Discrete Box
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A Counterexample to Nivat's Conjecture for a Non-Convex Window
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Cycle Double Cover Conjecture
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Kotzig's Perfect 1-Factorisation Conjecture, Asymptotically
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Minimum Edge-Outerplanar Embedding
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Purdy's Inequality for Hyperplane Arrangements
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Strichartz's Question on Fourier Frames for the Cantor Measure
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Kurkov's Fubini-Number Sum Conjecture
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Erdős Problem #866
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The Quantum Wasserstein Semidistance Is Not a Distance
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Remodeling for the Affine Binary Dihedral Calabi–Yau Threefold
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Stable Phase Retrieval for Spans of Independent Random Variables
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Faber-Harris Conjecture on the Isolation Lemma
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Amdeberhan-Medina-Moll Arctangent Sum Conjecture
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Counterexample to the Odd-Dimensional Rank Bound for Abelian p-Group Actions
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Optimal Online Discrepancy in Linear Time
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K-Polystable Toric Fano Varieties With Small Alpha Invariants
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Signed BAR Conjecture for Reflected Brownian Motion
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The Tree Product Conjecture
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The Signed BAR Uniqueness Problem
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White's Conjecture on Matroids
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Log-Concavity of Flats of Matroids
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North-East Lattice Paths with Few Collinear Vertices
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Erdős Problem #123
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Erdős Problem #1038
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Erdős Problem #119
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Erdős Problem #321
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Erdős Problem #793
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Erdős Problem #320
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Bertoin-Yor Moment Determinacy Conjecture
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Ziegler's Cross-Polytope Conjecture (simplicial 0/1-polytopes)
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The da Silva Machado-Seade Conjecture
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Seymour's Second Neighborhood Conjecture
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Rectangles versus Isosceles Triangles in Lattice Sets
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FGG Conjecture for QAOA on the Ring of Disagrees
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Mossel-Peres Multivariable Bernoulli Factory Claim
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The Erdos-Sos Pairwise-Sums Problem
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Erdos Problem #731
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Erdos's Question on the Independence Ratio of Unit-Distance Graphs
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Conjecture on $k$-Antichains in the Unit Cube
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Lassak's Area Bound for Reduced Planar Bodies
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Erdős Problem #1061
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Erdos Problem #1061
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Quadratic-Time Hardness of Furthest Pair in Superconstant Dimension
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The Existence Problem for Regular Gabor Frames
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Erdos Problems #593 and #1177
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The Erdos-Lovasz Cover Number Problem
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Erdos Problem #768
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Kontsevich's Asphericity Conjecture for Strata of Differentials
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Erdős Problem #865
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The Finite Field Restriction Problem for the Paraboloid
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Erdős Problem #671
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Erdős Problem #550
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Baker's Question on Smooth Hyperplane Sections over Finite Fields
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Kannan–Tetali–Vempala conjecture (bipartite/binary-matrix case)
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Erdős Problem #1197
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Erdős Problem #176
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Zhi-Wei Sun's Conjecture 3.4 on a Truncated Legendre-Symbol Determinant
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Erdős Problem #346
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Erdős Problem #948
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Erdős Problem #306
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Conjecture 3 of the Dynamical Sampling Survey
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The Ramachandra-Natarajan Pairwise Independent Correlation Gap Conjecture
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Sabok's S-Prime Simplex Questions
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Erdős Problem #451
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Erdos's Conjecture on Consecutive Integers Free of Certain Prime Factors
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Erdős Problem #986
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The Yun-Sra-Jadbabaie SS-RS-GD Inequalities
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The Erdos-Hajnal High-Girth Subgraph Conjecture
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Erdos's Question on Shifted Pairwise-Coprime Reciprocal Sums
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Wegner's Piercing Conjecture for Rectangles
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Vinzant's Conjecture on Phase Retrieval Injectivity
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The Near-Quadratic Elekes-Ronyai Expander Conjecture
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Brezis-Mironescu Open Problems 23 and 24 on Minimizing Maps to the Circle
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The Matrix Spencer Conjecture for C*-Algebra Contractions
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Erdős Problem #942
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Erdős Problem #326
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The Erdos-Graham Semiprime Unit Fraction Problem
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Koch-Narayan Conjecture 1
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The Papamanthou-Tollis Conjecture on Parameterized st-Orientations
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Graffiti Conjecture 143
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Sun's Conjecture 4.6(ii) on Trigonometric Permanents
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TxGraffiti-Davila Conjecture 9
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The Quantum Pyramids Conjecture
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Pandey Parity Conjecture for Generalized Petersen Graphs
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Graffiti Conjecture 154 (Standard-Deviation Reading)
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IRIS Conjecture 6.1 on Simple 3-Polytopes
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The Matrix Spencer Conjecture for Finite Groups
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The Schwartz Quadratic Meander Number Conjecture
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Erdős Problem #539
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The Sharp Threshold for the Dyn-Farkhi Conjecture
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Erdős Problem #619
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Free Fermions in Disguise without Exponential Degeneracies
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The Odd Area Conjecture for Unit Disks
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The Espuny Diaz-Lichev-Wesolek Conjecture on Dirac Subgraphs
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Erdős Problem #696
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Erdős Problem #623
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FullRSB Jamming Identity a + b = 1
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Divisibility Set of the Generalized Euler Totient
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Darboux injections from closed manifolds: Banakh–Banakh Problems 1.7 and 1.8
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Erdős Problem #477
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Gaussian Mass Maximality of the Integer Lattice
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The Thin Matching Problem
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Zhang's Question on Howson and Strongly Howson Groups
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Steurer's Conjecture on Vectors with Small Average Correlation
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Unit-Area Triangles in Planar Sets of Large Measure
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The Arborescence-Sampling Barrier for Eulerian Tours
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The Aluffi-Chen-Marcolli Real-Rootedness Conjecture
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The Sum-Product Conjecture over the Reals
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Bombari's Question on Sign-Quantized Linear Maps
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No-Go Theorems for Poisson Certificates of Gaussian Mass Maximality
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Borsuk Conjecture lowest-ever counterexample (N=63)
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The Frankl-Peng-Rodl-Talbot Question on Turan Density Intervals
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Arithmeticity of Degree-Six Symplectic Hypergeometric Monodromy Groups
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Strong Convergence of Cesaro Means of Firmly Nonexpansive Iterates
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Growth Constants for Lipschitz Functions on Sparse Random Graphs
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Positivity of Chern Classes of Symmetric Powers
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Open Problems in Commutative Algebra Resolved by Rethlas
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Brezis's Problems on Degenerate Constants in Degree Inequalities
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Simon's Extendable Shellability Conjecture
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Optimal Vector Balancing for Zonotopes
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Binary Digits of the Erdős-Borwein Constant
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Log-Concavity of Codimension-Three Pure O-Sequences
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Shokurov's Global Index Conjecture for Foliations
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Han and Jiang's Question on klt Type in Flat Families
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Erdős Problem #12
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Four-Particle Monochromatic Quantum Graphs
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Mauri and Moraga's Question on Log Calabi-Yau Pairs with Big Boundary
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The Optimal Approximation Ratio for Permanents of PSD Matrices
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Erdős Problem #138
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Written on the Wall II, Graph Conjecture 2
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Monochromatic Quantum Graphs in the Diagonal Family
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Ben Green's Open Problem 57
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Erdős Problem #387
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The Ballantine-Beck-Feigon-Maurischat Conjectures on Subsum Polynomials
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Kollár and Kovács's Question on Cohomology of Fibers
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The Ciliberto et al. Question on Effective Divisors of Positive Self-Intersection
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Conjectures of Hopkins, Sagan-Wilson and Defant et al. on Lattices, Parking Functions and the Plactic Monoid
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Polylogarithmic Full-Chord Buffon Discrepancy
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Log-Convexity of Fisher Information Along Heat Flow
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Integral Local Invariant Cycles in Degree One
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Erdős Problem #1039
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Maz'ya's Question on Distinguishing Two Maximal Operators
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Existence of $t$-Edge-Balanced Graphs for $t \ge 3$
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Total Variation for the Lamplighter Walk on Z
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Return Probability for the Lamplighter Walk on a Tree
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The Kinoshita Conjecture and Kirby Problem 4.37
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Ben Green's Open Problem 90
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Maximum Entropy of Sums of Independent Ternary Random Variables
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Gaussian Completely Monotone Conjecture
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Talagrand's Convexity Problem
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The Jauslin-Kreiss-Moser Vanishing-Viscosity Selection Problem
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The Hamaker-Reiner Conjecture on ASM Weak Order Intervals
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Erdős Problem #690
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The Escobar-Klein-Weigandt Conjecture on Cohen-Macaulay ASM Varieties
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Erdős Problem #1032
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Erdős Problem #7
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Odifreddi's Problem 3 on Irreducible m-Degrees
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Erdős Problem #750
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Litvak's Conjecture on Gaussian Minima
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Erdős Problem #351
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Erdős Problem #283
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Erdős Problem #870
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Erdős Problem #694
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The Banks-Martin Conjecture on Primitive Sets
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The Largest Sum-Free Subset of the Lattice Cube
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Carbery's Almost-Orthogonality Inequality in Lp
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Erdős's Planar Unit Distance Conjecture
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Erdős Problem #1201
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The Proportion of Permutations Fixing a k-Set
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Erdős Problem #1151
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Garamvölgyi-Jackson-Jordán Conjecture on Cliques in Minimally Globally Rigid Graphs
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Erdős Problem #1133
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Hamilton Decompositions of the Directed 5-Torus, Odd Modulus
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Kirby Problem 5.16 for Noncommutative Semifree DGAs
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Erdős Problem #1092
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Erdős Problem #1101
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Erdős Problem #43
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Erdős Problem #953
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Erdős Problem #42
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Mixing Time of Kac's Walk on the Rotation Group
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Erdős Problem #896
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Erdős Problem #906
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Erdős Problem #888
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Erdős Problem #38
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Erdős Problem #1138
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Optimal Strategies in the All-Heads Coin Game
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Erdős Problem #330
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Erdős Problem #1014
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Erdős Problem #1190
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Erdős Problem #202
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Erdős Problem #863
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Parity obstruction in the minimum-determinant problem for Latin squares
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Erdős Problem #996
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Erdős Problem #610
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Erdős Problem #603
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Sharp Convergence Rates for Viscous Hamilton-Jacobi Homogenization
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Density Thresholds for Large Dilates of Point Configurations
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Nathanson's Problems on Product Intersection Sets
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Erdős Problem #522
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Erdős Problem #1195
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Erdős Problem #670: Diameter with Separated Distances
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Wickstead's Conjecture on Positive Projections
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Erdős Problem #741
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Erdős Problem #1217
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Avidor-Zwick Question on Low-Dimensional Max-Cut SDP
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Erdős Problem #856
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Erdős Problem #858
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Erdős Problem #258
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Erdős Problem #990
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Erdős Problem #987
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Erdős Problem #960
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Erdős Problem #1091
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Erdős Problem #1141
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Exhaustive AdaBoost Cycling Question
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Thiele Rules on the Voter Interval Domain
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Erdős Problem #26
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Equality in Fill's Spectral Gap Problem
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Anderson's Quasi-Completeness Question
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Last-Iterate Rate for Anchored Gradient Descent-Ascent
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Erdős Problem #152
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Bipartite Exact Matching in P
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Erdős Problem #1202
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Erdős Problem #1196: Primitive Sets
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Erdős Problem #514
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Erdős Problem #997
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Counting Partial Hadamard Matrices in the Cubic Regime
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Sárközy's Conjecture on Sums and Products Modulo a Prime
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Erdős Problem #380
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Improved Approximation Ratios for Multiway Cut
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Erdős Problem #125
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Erdős Problem #369
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The Lattice Triangle Problem in the Hard Obtuse Window
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Hamilton Decompositions of the Directed 3-Torus
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Ramsey-Style Hypergraph Partition Bound H(n)
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Erdős Problem #1153
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Lower Bounds for Lebesgue Constants and an Erdős-Turán Interpolation Problem
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Simplicity of the Hodge Bundle
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Manin's Question on R-Equivalence for the Diagonal Cubic
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Erdős Problem #1148
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Equilibria of the Vlasov-Maxwell-Landau System
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Pach's Tangency Conjecture: Improved Bounds
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Kissing Number in 19 Dimensions
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Nine Ramsey Number Lower-Bound Records
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Transposition is Nearly Optimal for IID List Update
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A 24-Vertex Triangulation of Real Projective 5-Space
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Erdős Problem #650
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Erdős Problem #457
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Uniform Witnesses for Uniform Set Systems: the k=3 Question
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Erdős Problem #966
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Erdős Problem #846
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Ran-Teng Conjecture 20 on 4-Cycle Stochastic Matrices
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The Leading Constant for Large-Order Davenport-Schinzel Sequences
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First Proof Question 8: Smoothing Polyhedral Lagrangians
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Single-Minus Gluon Tree Amplitudes
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Erdős Problem #851
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Almost All Primes are Partially Regular
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Erdős Problem #347
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Chen-Gendron Spin-Parity Identity for k-Differentials
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Fel's Conjecture on Syzygies of Numerical Semigroups
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Erdős Problem #1089
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Erdős Problem #1040
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Erdős Problem #654
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Erdős Problem #1051
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A Generalization of Boppana's Entropy Inequality
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Erdős Problem #543
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Erdős Problem #281
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Courtade and Kumar's Coordinate-wise Mutual Information Question
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Erdős Problem #659
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Erdős Problem #401
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Erdős Problem #729
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Erdős Problem #205
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Erdős Problem #397
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Erdős Problem #728: Factorial Divisibility
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Erdős Problem #871
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Large Hypercube Intervals in Bruhat Order
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Erdős Problem #897
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Erdős Problem #333
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Erdős-Herzog-Piranian Distance Products: Improved Lower Bound
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Erdős Problem #1026: Monotonic Subsequence Sums
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The Lonely Runner Conjecture for Nine and Ten Runners
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Minimax Rate for Density Estimation under Wasserstein Contamination
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Erdős Problem #848
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Sum-Difference Exponents for Boundedly Many Slopes
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Point Convergence of Nesterov's Accelerated Gradient Method
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Curto et al.'s Minimality Conjecture for Threshold-Linear Networks
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Erdős Problem #707: Sidon Sets and Perfect Difference Sets
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Cohen's 22 Conjectures on Cyclic Numbers
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Babai and Frankl's Oddtown Question for Composite Moduli
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Vertex-Minimal Paper Tori
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