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Nazarov conjectured that for $s \in (1, 3/2)$ the quadratic form of the spectral fractional Dirichlet Laplacian strictly increases under $u \mapsto |u|$ when $u$ changes sign. Proved and substantially generalized, with the same conclusion for the restricted form.
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From the paper: "The original proof of Corollary 3 via Lemma 5 (for m = 1) was given by the LLM Claude (Anthropic), which was directed jointly by E.I., P.N., and A.T." A named corollary, with the human direction credited by initials.
Provider: Anthropic · Prompt public: unknown · Independence: unknown
A preprint days old, with no independent review.
Correctness: unknown · statement fidelity: unaudited · peer review: none
VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.
Source-reported tools: argument.
Independent: unknown · difference confidence: 0
VibeMath has not independently audited the mathematical statement, proof, or novelty claim.