论文标题

改进的$ζ(1/2+IT)$的明确估计值

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

论文作者

Hiary, Ghaith A., Patel, Dhir, Yang, Andrew

论文摘要

riemann zeta函数$ζ(s)$的显式subconvex在关键行$ s = 1/2+it $上已证明。以前的子凸界依赖于Kusmin-Landau引理的不正确版本。考虑到该引理中所需的校正后,我们以$ |ζ(1/2 + it)| $恢复并改善记录的明确约束。

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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