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
收藏
页码：153 / 171
页数：19
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