Summation formulae of multiplicative functions over arithmetic progressions and applications

被引：0
|
作者：
Jiang, Yujiao [1 ]
Lue, Guangshi [2 ]
机构：
[1] Shandong Univ, Sch Math & Stat, Weihai 264209, Shandong, Peoples R China
[2] Shandong Univ, Sch Math, Jinan, Shandong, Peoples R China
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2024年
关键词：
Multiplicative functions; arithmetic progressions; automorphic L-functions; AVERAGE ORDER;
D O I：
10.4153/S0008414X24000312
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the asymptotic distribution of a class of multiplicative functions over arithmetic progressions without the Ramanujan conjecture. We also apply these results to some interesting arithmetic functions in automorphic context, such as coefficients of automorphic L-functions, coefficients of their Rankin-Selberg.
引用
收藏
页数：28
相关论文
共 50 条
12345