Exponential sums with coefficients of certain Dirichlet series

被引：0

作者：

Baier, Stephan ^{[1
]}

机构：

[1] Univ Gottingen, Math Inst, D-37073 Gottingen, Germany

来源：

MONATSHEFTE FUR MATHEMATIK | 2013年 / 169卷 / 02期

基金：

欧洲研究理事会;

关键词：

Exponential sums; Dirichlet series; Hecke eigenvalues; Piatetski-Shapiro primes;

D O I：

10.1007/s00605-011-0372-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under the generalized Lindelof Hypothesis in the t- and q-aspects, we bound exponential sums with coefficients of Dirichlet series belonging to a certain class. We use these estimates to establish a conditional result on squares of Hecke eigenvalues at Piatetski-Shapiro primes.

引用

页码：127 / 143

页数：17

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