Fel's Conjecture on Syzygies of Numerical Semigroups

Precise statement

Does the conjectured universal formula for normalized alternating syzygy power sums of numerical semigroup rings hold for every index?

The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.

What AI did

AxiomProver

Proved for every index by the AxiomProver system.

Provider: unknown · Prompt public: unknown · Independence: unknown

Verification boundary

lean checked statement unaudited

Lean-checked with a multi-author audit of the formalized statement. Tier: the formalized statement was audited by the paper's own authors, which however expert is not independent.

Correctness: supported · statement fidelity: unaudited · peer review: none

Timeline

1. 2026-02-03

   arXiv:2602.03716 - Fel's conjecture on syzygies of numerical semigroups

   VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

Known method families

argument (source-reported)

Source-reported tools: argument.

Independent: unknown · difference confidence: 0

What remains uncertain

VibeMath has not independently audited the mathematical statement, proof, or novelty claim.

• VibeMath has not independently verified the mathematical claim.
• AI-attempt independence and training-data exposure are unknown unless explicitly documented.
• VibeMath has not independently audited the mathematical statement, proof, or novelty claim.