On the zeros of the Estermann zeta-function

被引：3

作者：

Slezeviciene, R

Steuding, J

机构：

[1] Vilnius Univ, Dept Math & Informat, LT-2600 Vilnius, Lithuania

[2] Univ Frankfurt, Math Seminar, D-60054 Frankfurt, Germany

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2002年 / 13卷 / 04期

关键词：

Estermann zeta-function; zero distribution;

D O I：

10.1080/10652460290009213

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the Estermann zeta-function, given by E(s; k/l, alpha) = Sigmad/n=1 sigmaalpha(n)/ns exp{2pi in (k/l), where k and l are coprime integers and sigma(alpha)(n) = Sigma(d/n) d(alpha) is the generalized divisor function with a complex number alpha, and prove an asymptotic formula for the number of nontrivial zeros.

引用

页码：363 / 371

页数：9

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