Nonlinear twists and moments of L-functions

被引：0

作者：

Kaczorowski, J. ^{[1
]}

Perelli, A. ^{[2
]}

机构：

[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland

[2] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy

来源：

ACTA ARITHMETICA | 2024年

关键词：

Selberg class; nonlinear twists; moments of L-functions; Lindelof Hypothesis; SELBERG CLASS; RESONANCE;

D O I：

10.4064/aa230329-3-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F belong to the extended Selberg class S#. We show how a suitable hypothesis on the analytic continuation of a certain nonlinear twist of F2, namely the self -reciprocal twist, implies a sharp bound for the mean -square of F (1/2 + it).

引用

页码：153 / 171

页数：19

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