On the Rankin-Selberg problem

被引：52
|
作者：
Huang, Bingrong [1 ,2 ]
机构：
[1] Shandong Univ, Data Sci Inst, Jinan 250100, Shandong, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
MATHEMATISCHE ANNALEN | 2021年 / 381卷 / 3-4期
关键词：
SUBCONVEXITY; SUMMATION;
D O I：
10.1007/s00208-021-02186-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we solve the Rankin-Selberg problem. That is, we break the well known Rankin-Selberg's bound on the error term of the second moment of Fourier coefficients of a GL(2) cusp form (both holomorphic and Maass), which remains its record since its birth for more than 80 years. We extend our method to deal with averages of coefficients of L-functions which can be factorized as a product of a degree one and a degree three L-functions.
引用
收藏
页码：1217 / 1251
页数：35
相关论文
共 50 条
12345