Work

All even logarithmic differences of Boros–Moll coefficients

Year: 2026

Type: preprint

Abstract: In this preprint, we prove Chen and Gu’s 2008 conjecture on log-concavity of the ratio sequence of Boros–Moll coefficients, with strict inequality at every interior index. A positive integral interpolation and explicit fourth-derivative bounds establish the result for m ≥ 200. The remaining 18,915 inequalities for 6 ≤ m ≤ 199 are verified in exact integer arithmetic. The submission includes the manuscript and the accompanying Python verification code.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.23131318

Author: Ziegler, Aran S

Institution: Auckland University of Technology

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7219757683

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