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On the Rankin–Selberg L-function related to the Godement–Jacquet L-function
被引：0
作者：
A. Kaur
A. Sankaranarayanan
机构：
[1] University of Hyderabad,School of Mathematics and Statistics
来源：
Acta Mathematica Hungarica
|
2023年
/
169卷
关键词：
Rankin–Selberg ;
-function;
Godement–Jacquet ;
-function;
Riesz mean asymptotic formula;
Hecke–Maass form;
11F30;
11N75;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the k-th Riesz mean for the coefficients of the Rankin–Selberg L-function related to the Godement–Jacquet L-function with respect to SL(n,Z)\documentclass[12pt]{minimal}
\usepackage{amsmath}
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\begin{document}$$SL(n,\mathbb{Z})$$\end{document} and establish an asymptotic formula with a good error term for k≥k0(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$k \geq k_0(n)$$\end{document} where k0(n)\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$k_0(n)$$\end{document} is a positive integer depending only on n.
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页码：88 / 107
页数：19
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