Quadratic forms connected with Fourier coefficients of Maass cusp forms

被引：3
|
作者：
Hu, Liqun [1 ,2 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China
[2] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源：
FRONTIERS OF MATHEMATICS IN CHINA | 2015年 / 10卷 / 05期
关键词：
Circle method; Fourier coefficients of Maass cusp forms; quadratic form; exponential sum; NUMBER;
D O I：
10.1007/s11464-015-0416-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For the normalized Fourier coefficients of Maass cusp forms lambda(n) and the normalized Fourier coefficients of holomorphic cusp forms a(n), we give the bound Sigma m(1)(2)+m(2)(2)+m(3)(2)<= x lambda(m(1)(2) + m(2)(2) + m(3)(2))Lambda(m(1)(2) + m(2)(2) + m(3)) and Sigma m(1)(2)+m(2)(2)+m(3)(2)<= x a(m(1)(2) + m(2)(2) + m(3)(2))Lambda(m(1)(2) + m(2)(2) + m(3)).
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页码：1101 / 1112
页数：12
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