Effective estimates for the distribution of values of Euler products

被引：1

作者：

Girondo, E ^{[1
]}

Steuding, J ^{[1
]}

机构：

[1] Univ Autonoma Madrid, C Univ Cantoblanco, Dept Matemat, E-28049 Madrid, Spain

来源：

MONATSHEFTE FUR MATHEMATIK | 2005年 / 145卷 / 02期

关键词：

Euler products; almost periodic; Kronecker's approximation theorem;

D O I：

10.1007/s00605-005-0305-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove effective upper bounds for the almost periodicity of polynomial Euler products L(s) in the half-plane of absolute convergence. From this we deduce estimates for the roots of the equation L(s) = c, where c is any non-zero complex number which is attained by Y(s). The method relies mainly on effective diophantine approximation.

引用

页码：97 / 106

页数：10

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