Summation formulae for coefficients of L-functions

被引：53

作者：

Friedlander, JB ^{[1
]}

Iwaniec, H

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

[2] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[3] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2005年 / 57卷 / 03期

关键词：

D O I：

10.4153/CJM-2005-021-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

With applications in mind we establish a summation formula for the coefficients of a general Dirichlet series satisfying a suitable functional equation. Among a number of consequences we derive a generalization of an elegant divisor sum bound due to F. V. Atkinson.

引用

页码：494 / 505

页数：12