Explicit extreme values of the argument of the Riemann zeta-function
Number Theory
2026-04-08 v2
Abstract
We investigate explicit extreme values of the argument of the Riemann zeta-function in short intervals. As an application, we improve the result of Conrey and Turnage-Butterbaugh concerning -gaps between zeros of the Riemann zeta-function.
Cite
@article{arxiv.2510.14309,
title = {Explicit extreme values of the argument of the Riemann zeta-function},
author = {Shōta Inoue and Hirotaka Kobayashi and Yuichiro Toma},
journal= {arXiv preprint arXiv:2510.14309},
year = {2026}
}
Comments
13 pages