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

被引：10

作者：

Lao, Hui Xue ^{[1
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2013年 / 29卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Fourier coefficients; cusp forms; L-function; sparse sequence; PLANCHEREL MEASURES; EULER PRODUCTS; SQUARE; CLASSIFICATION; SERIES;

D O I：

10.1007/s10114-013-2706-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let lambda(f) (n) be the n-th normalized Fourier coefficient of a holomorphic Hecke eigenform f(z) epsilon S-k(Gamma). In this paper, we established nontrivial estimates for Sigma(n <= x)lambda(f)(n(i))lambda(f)(n(j)), where 1 <= i <= j <= 4.

引用

页码：1963 / 1972

页数：10

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[J]. Acta Mathematica Sinica, English Series, 2013, 29 : 1963 - 1972
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