相当于塞尔伯格课上的黎曼假设

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2023-05-17 DOI:10.1007/s12188-023-00268-8

Ramūnas Garunkštis, Jokūbas Putrius

引用次数: 0

摘要

2020年S。M.Gonek、S.W.Graham和Y.Lee提出了素数的Lindelöf假说，并证明它等价于黎曼假说。在这个注记中，我们证明了它们的结果在L-函数的Selberg类中成立。

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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An equivalent to the Riemann hypothesis in the Selberg class

In 2020 S. M. Gonek, S. W. Graham and Y. Lee formulated the Lindelöf hypothesis for prime numbers and proved that it is equivalent to the Riemann Hypothesis. In this note we show that their result holds in the Selberg class of L-functions.

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.