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.
引用
收藏
页码:319 / 330
页数:12
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