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This paper aims to consolidate precise problem statements and corrections related to monthly mathematical conjectures.

August 7, 2026Open Access

r/LLMmathematics Monthly Conjectures: Corrections, Sharp Results, and Exact Verification

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This paper aims to consolidate precise problem statements and corrections related to monthly mathematical conjectures.
Collects proof terms, corrections, and results from various mathematical explorations.
Includes standalone proofs for the sharp circle L1 Poincare-Wirtinger stability theorem.
Provides exact linear-real-arithmetic certificates and independent audits.
Proves Var(Mf) at most Var(f) for every nonnegative sequence on three consecutive sites.
Establishes the optimal coefficient of the stability theorem as 1/4 via a nested-core coarea argument.
Demonstrates that for Gaussian stability, the closest coherent states exist at plus or minus t/2.

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Maintained working-paper series documents conjectures, proofs, and exact verifications in mathematics, suggesting advancements in problem-solving.

The Clankers (2026) studied this question.

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Maintained working-paper series documents conjectures, proofs, and exact verifications in mathematics, suggesting advancements in problem-solving.