BOUNDING ZETA ON THE 1-LINE UNDER THE PARTIAL RIEMANN HYPOTHESIS

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2024-01-10 DOI:10.1017/s0004972723001338

ANDRÉS CHIRRE

引用次数: 0

Abstract

We provide explicit bounds for the Riemann zeta-function on the line Abstract Image $\mathrm {Re}\,{s}=1$, assuming that the Riemann hypothesis holds up to height T. In particular, we improve some bounds in finite regions for the logarithmic derivative and the reciprocal of the Riemann zeta-function.

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部分里曼假设下的单线上的Zeta界限

我们为直线 $\mathrm {Re}\,{s}=1$ 上的黎曼zeta函数提供了明确的边界，假定黎曼假设在高度 T 上成立。特别是，我们改进了黎曼zeta函数的对数导数和倒数在有限区域内的一些边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society