A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval

Michael Andrew Henry

doi:10.48550/arxiv.2601.00631

A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Michael Andrew Henry

DOI: 10.48550/arxiv.2601.00631

Cited by: 0

Abstract

We prove an inequality featuring three well-known functions from analysis, namely the cotangent, the Euler-Riemann zeta function, and the digamma function. Aside from a simple proof of our result, we give a conjectured strengthening. We offer various remarks about the origins of this problem.

Fields of Study & Subjects

Advanced Mathematical Identities Mathematical Inequalities and Applications Analytic Number Theory Research

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 2 January 2026
Document type: Preprint