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

被引：0
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作者：
J. Kaczorowski
A. Perelli
机构：
[1] Adam Mickiewicz University,Faculty of Mathematics and Computer Science
[2] Institute of Mathematics of the Polish Academy of Sciences,Dipartimento di Matematica
[3] Università di Genova,undefined
来源：
Proceedings of the Steklov Institute of Mathematics | 2017年 / 296卷
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摘要：
Abstract—Let χ (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, χ) from the functional equation of ζ(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：9
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