The cancellation of Fourier coefficients of cusp forms over different sparse sequences

被引：0
作者：
Hui Xue Lao
机构：
[1] Shandong Normal University,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2013年 / 29卷
关键词：
Fourier coefficients; cusp forms; -function; sparse sequence; 11F30; 11F11; 11F66;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let λf(n) be the n-th normalized Fourier coefficient of a holomorphic Hecke eigenform f(z) ∈ Sk(Γ). In this paper, we established nontrivial estimates for \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\sum\limits_{n \leqslant x} {\lambda _f \left( {n^i } \right)\lambda _f \left( {n^j } \right),}$$\end{document} where 1 ≤ i < j ≤ 4.
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页码：1963 / 1972
页数：9
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