黎曼函数的位移矩

IF 0.6 3区数学 Q3 MATHEMATICS

Canadian Journal of Mathematics-Journal Canadien De Mathematiques Pub Date : 2023-09-25 DOI:10.4153/s0008414x23000548

Nathan Ng, Quanli Shen, Peng-Jie Wong

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引用次数: 0

摘要

摘要在本文中，我们证明了Riemann假设隐含了一个关于Riemann zeta函数位移矩的Chandee猜想。这个证明是基于Harper关于Riemann zeta函数在临界线上的第2k阶矩的明显上界的思想。

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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Shifted moments of the Riemann zeta function

Abstract In this article, we prove that the Riemann hypothesis implies a conjecture of Chandee on shifted moments of the Riemann zeta function. The proof is based on ideas of Harper concerning sharp upper bounds for the $2k$ th moments of the Riemann zeta function on the critical line.

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来源期刊

Canadian Journal of Mathematics-Journal Canadien De Mathematiques 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

4.5 months

期刊介绍： The Canadian Journal of Mathematics (CJM) publishes original, high-quality research papers in all branches of mathematics. The Journal is a flagship publication of the Canadian Mathematical Society and has been published continuously since 1949. New research papers are published continuously online and collated into print issues six times each year. To be submitted to the Journal, papers should be at least 18 pages long and may be written in English or in French. Shorter papers should be submitted to the Canadian Mathematical Bulletin. Le Journal canadien de mathématiques (JCM) publie des articles de recherche innovants de grande qualité dans toutes les branches des mathématiques. Publication phare de la Société mathématique du Canada, il est publié en continu depuis 1949. En ligne, la revue propose constamment de nouveaux articles de recherche, puis les réunit dans des numéros imprimés six fois par année. Les textes présentés au JCM doivent compter au moins 18 pages et être rédigés en anglais ou en français. C’est le Bulletin canadien de mathématiques qui reçoit les articles plus courts.