Shifted moments of the Riemann zeta function

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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Bibliographic Details
Main Authors Ng, Nathan, Shen, Quanli, Wong, Peng-Jie
Format Journal Article
LanguageEnglish
Published 07.06.2022
Subjects
Mathematics - Number Theory
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Summary: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.
DOI:10.48550/arxiv.2206.03350