Inversion formula of Dirichlet polynomials and the approximate functional equation of Dirichlet's L-functions

被引：0
|
作者：
Wei Wang
机构：
[1] Department of Mathematics,
[2] Jinan 250 100,undefined
[3] P.R. China,undefined
[4] Current address: (c/o Prof. Dr. S.J. Patterson),undefined
[5] Mathematisches Institut,undefined
[6] Universität Göttingen,undefined
[7] Bunsenstr. 3-5,undefined
[8] D-37073 Göttingen,undefined
[9] Germany,undefined
来源：
Archiv der Mathematik | 1997年 / 69卷
关键词：
Error Term; Functional Equation; Inversion Formula; Critical Line; Dirichlet Polynomial;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note, we prove an inversion formula for Dirichlet polynomials involving a non-principal character. By using Heath-Brown's upper-bound for Dirichlet's L-functions, we are able to obtain a non-trivial upper-bound for the error term in the q aspect. As an application we obtain an approximate functional equation for Dirichlet's L-functions to the right of the critical line with a sharp error term.
引用
收藏
页码：305 / 312
页数：7
相关论文
共 50 条
12345