A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval
Number Theory
2026-01-05 v1 Combinatorics
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.
Cite
@article{arxiv.2601.00631,
title = {A simple inequality relating the Euler-Riemann zeta function, digamma, and cotangent over the unit interval},
author = {Michael Andrew Henry},
journal= {arXiv preprint arXiv:2601.00631},
year = {2026}
}