Sums of k-th powers and Fourier coefficients of cusp forms

被引：0
作者：
Zhining Wei
机构：
[1] Ohio State University,Mathematics Department
来源：
The Ramanujan Journal | 2023年 / 60卷
关键词：
Shifted convolution sums; Cusp forms; Circle method; Voronoi formula.; 11F30; 11P05; 11P55;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we will first establish a power saving result for the shifted convolution sums of k-th powers and the normalized Fourier coefficients of SL2(Z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text {SL}}_2(\mathbb {Z} )$$\end{document} cusp forms. Later we will generalize the result to higher rank cases.
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页码：295 / 316
页数：21
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