The Generalized Riemann Hypothesis from zeros of a single L-function

被引：0

作者：

Banks, William ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2024年 / 35卷 / 06期

关键词：

Generalized Riemann Hypothesis; Zeta function; Dirichlet L-function; Zeros; ZETA-ZEROS;

D O I：

10.1016/j.indag.2024.07.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each primitive Dirichlet character chi , a hypothesis GRH dagger[ chi ] is formulated in terms of zeros the associated L-function L ( s , chi ). It is shown that for any such character, GRH dagger[ chi ] is equivalent to Generalized Riemann Hypothesis. (c) 2024 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：1282 / 1293

页数：12

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