Shifted convolution sums for higher rank groups

被引：9
|
作者：
Jiang, Yujiao [1 ]
Lu, Guangshi [2 ]
机构：
[1] Shandong Univ, Sch Math & Stat, Weihai 264209, Shandong, Peoples R China
[2] Shandong Univ, Sch Math & Stat, Jinan 250100, Shandong, Peoples R China
来源：
FORUM MATHEMATICUM | 2019年 / 31卷 / 02期
基金：
中国博士后科学基金;
关键词：
Shifted convolution sums; cusp forms; theta functions; 4TH;
D O I：
10.1515/forum-2017-0269
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study some shifted convolution sums for higher rank groups. In particular, we establish an asymptotic formula for a GL(4) x GL(2) shifted convolution sum Sigma(n <= x)vertical bar lambda(f)(n)vertical bar(2)r(l)(n + b), where lambda(f) (n) are normalized Fourier coefficients of a Hecke holomorphic cusp form and r(1)(n) denotes the number of representations of n by the quadratic form x(1)( )(2)+ . . . + x(1)(2).
引用
收藏
页码：361 / 383
页数：23
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