Oscillations of coefficients of primitive cusp forms over some special sequences

被引：5

作者：

Lao, Huixue ^{[1
,2
]}

机构：

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

[2] Shandong Univ, Sch Math & Syst Sci, Jinan 256100, Peoples R China

来源：

RAMANUJAN JOURNAL | 2009年 / 19卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Fourier coefficient of cusp forms; Exponential sums; Hecke L-function; Beatty sequence; SERIES;

D O I：

10.1007/s11139-008-9128-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let lambda(f)(n) be the Fourier coefficient of a Hecke primitive eigencuspform f(z) of even integral weight k for the full modular group. In this paper we study the cancelation of the function lambda(f)(n) over some special sequences.

引用

页码：339 / 350

页数：12

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