On the large values of the Riemann zeta-function on the critical line - II

TL;DR

This paper establishes new bounds for the maximum of the Riemann zeta-function on short segments of the critical line, assuming the Riemann hypothesis, advancing understanding of its extreme values.

Contribution

It provides novel bounds for zeta-function maxima on short segments under the Riemann hypothesis, extending previous results in the field.

Findings

New bounds for zeta-function maxima on short segments

Results depend on the Riemann hypothesis being true

Improves understanding of zeta-function behavior on the critical line

Abstract

We prove some new bounds for the maximum of Riemann zeta-function on very short segments of the critical line. All the theorems are based on the Riemann hypothesis.