An additive problem in the Fourier coefficients of cusp forms

被引：0

作者：

Gergely Harcos

机构：

[1] Department of Mathematics,

[2] Princeton University,undefined

[3] Fine Hall,undefined

[4] Washington Road,undefined

[5] Princeton,undefined

[6] NJ 08544,undefined

[7] USA (e-mail: gharcos@math.princeton.edu),undefined

来源：

Mathematische Annalen | 2003年 / 326卷

关键词：

Fourier; Fourier Coefficient; Additive Problem; Cusp Form; Critical Line;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish an estimate on sums of shifted products of Fourier coefficients coming from holomorphic or Maass cusp forms of arbitrary level and nebentypus. These sums are analogous to the binary additive divisor sum which has been studied extensively. As an application we derive, extending work of Duke, Friedlander and Iwaniec, a subconvex estimate on the critical line for L-functions associated to character twists of these cusp forms.

引用

页码：347 / 365

页数：18