On exponential sums involving Fourier coefficients of cusp forms over primes

被引：5

作者：

Hou, Fei ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2016年 / 164卷

关键词：

Exponential sums; Fourier coefficient; Cusp form; Symmetric-square; AUTOMORPHIC L-FUNCTIONS; SQUARE; OSCILLATIONS; GL(3); GL(2);

D O I：

10.1016/j.jnt.2016.01.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the exponential sums involving Fourier coefficients of cusp forms for SL(2, Z) over primes. We are able to establish some new results. In addition, similar results have been obtained for the coefficients of symmetric-square lifts. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：375 / 404

页数：30

共 26 条

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Deligne P., 1974, PUBL MATH I HAUTES E, V43, P273

[2] Strong orthogonality between the Mobius function, additive characters and Fourier coefficients of cusp forms [J].