An improved explicit estimate for ζ(1/2+it)

2022/07/06 by Hiary, Ghaith A., Patel, Dhir, Yang, Andrew
#11L07 #11M06 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2207.02366

Abstract

An explicit subconvex bound for the Riemann zeta function ζ(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 |ζ(1/2 + it)|.

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