Twists and resonance of L-functions, I

被引：14

作者：

Kaczorowski, J. ^{[1
,2
]}

Perelli, A. ^{[3
]}

机构：

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

[2] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland

[3] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2016年 / 18卷 / 06期

关键词：

L-functions; Selberg class; twists; resonance; SELBERG CLASS;

D O I：

10.4171/JEMS/616

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain the basic analytic properties, i.e. meromorphic continuation, polar structure and bounds for the order of growth, of all the nonlinear twists with exponents <= 1/d of the L-functions of any degree d >= 1 in the extended Selberg class. In particular, this solves the resonance problem in all such cases.

引用

页码：1349 / 1389

页数：41

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