An explicit van der Corput estimate for $\zeta(1/2+it)$

TL;DR

This paper derives an explicit estimate for the Riemann zeta function on the critical line using the van der Corput method, providing a concrete bound with an explicit lemma.

Contribution

It introduces an explicit van der Corput lemma and applies it to obtain a new explicit estimate for (1/2+it), advancing the understanding of zeta function bounds.

Findings

Explicit bound for (1/2+it) derived

New explicit van der Corput lemma presented

Enhanced tools for analyzing the zeta function on the critical line

Abstract

An explicit estimate for the Riemann zeta function on the critical line is derived using the van der Corput method. An explicit van der Corput lemma is presented.