ESTIMATES FOR CERTAIN SHIFTED CONVOLUTION SUMS INVOLVING HECKE EIGENVALUES

被引：1
|
作者：
Hua, Guodong [1 ,2 ]
机构：
[1] Weinan Normal Univ, Sch Math & Stat, Weinan 714099, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Peoples R China
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 02期
关键词：
Shifted convolution sums; holomorphic cusp form; automorphic L-function; EULER PRODUCTS; CLASSIFICATION; FUNCTORIALITY; AVERAGES;
D O I：
10.4134/CKMS.c210366
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain certain estimates for averages of shifted convolution sums involving Hecke eigenvalues of classical holo-morphic cusp forms. This generalizes some results of Lu & BULL; and Wang in this direction.
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页码：319 / 330
页数：12
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