On explicit estimates for S(t), S1(t), and ζ (1/2+it) under the Riemann Hypothesis

被引：9

作者：

Simonic, Aleksander ^{[1
]}

机构：

[1] Univ New South Wales Canberra, Sch Sci, Canberra, ACT, Australia

来源：

JOURNAL OF NUMBER THEORY | 2022年 / 231卷

关键词：

Riemann zeta-function; Riemann Hypothesis; Explicit results; ZEROS;

D O I：

10.1016/j.jnt.2021.05.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assuming the Riemann Hypothesis, we provide explicit upper bounds for moduli of S(t), S-1(t), and zeta(1/2 + it) while comparing them with recently proven unconditional ones. As a corollary we obtain a conditional explicit bound on gaps between consecutive zeros of the Riemann zeta-function. (C) 2021 Elsevier Inc. All rights reserved.

引用

页码：464 / 491

页数：28

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