A note on Linnik's approach to the Dirichlet L-functions

被引：1
|
作者：
Kaczorowski, J. [1 ,2 ]
Perelli, A. [3 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, Ul Umultowska 87, PL-61614 Poznan, Poland
[2] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland
[3] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2017年 / 296卷 / 01期
关键词：
SELBERG CLASS; ZEROS;
D O I：
10.1134/S0081543817010096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let chi (mod q), q > 1, be a primitive Dirichlet character. We first present a detailed account of Linnik's deduction of the functional equation of L(s, chi) from the functional equation of zeta(s). Then we show that the opposite deduction can be obtained by a suitable modification of the method, involving finer arithmetic arguments.
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页码：115 / 124
页数：10
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