An improved explicit estimate for $\zeta (1/2+it)$

Abstract

An explicit subconvex bound for the Riemann zeta function $\zeta (s)$ on the critical line $s=1/2+it$ is proved. Previous subconvex bounds relied on an incorrect version of the Kusmin-Landau lemma. After accounting for the needed correction in that lemma, we recover and improve the record explicit bound for $|\zeta (1/2+it)|$.

19 pages