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.
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页码：1349 / 1389
页数：41
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