Averages of coefficients of a class of degree 3 L-functions

被引：0
|
作者：
Bingrong Huang
Yongxiao Lin
Zhiwei Wang
机构：
[1] Shandong University,Data Science Institute and School of Mathematics
[2] EPFL SB MATHGEOM TAN,School of Mathematics
[3] Shandong University,undefined
来源：
The Ramanujan Journal | 2022年 / 57卷
关键词：
Fourier coefficient; -function; Short interval; Exponent pair; 11N37; 11F30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note, we give a detailed proof of an asymptotic for averages of coefficients of a class of degree three L-functions which can be factorized as a product of a degree one and a degree two L-functions. We emphasize that we can break the 1/2-barrier in the error term, and we get an explicit exponent. Our proof relies on methods from the theory of exponential sums.
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页码：79 / 91
页数：12
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