Sums of coefficients of general L-functions over arithmetic progressions and applications

被引：0
|
作者：
Wang, Dan [1 ]
机构：
[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Shandong, Peoples R China
来源：
JOURNAL OF NUMBER THEORY | 2024年 / 265卷
关键词：
Fourier coefficients; Arithmetic progression; Cusp forms; FOURIER COEFFICIENTS; EULER PRODUCTS; CLASSIFICATION;
D O I：
10.1016/j.jnt.2024.06.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the asymptotic distribution of coefficients of general L-functions over arithmetic progressions without the Ramanujan conjecture. As an application, we consider the high mean of Fourier coefficients of holomorphic forms or Maass forms for Gamma = SL(2, Z) over arithmetic progressions, and improve the results of Jiang and L & uuml; [10]. Our new results remove the restriction to prime module and improve the interval length of module q. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码：117 / 137
页数：21
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