MEAN SQUARE ESTIMATE FOR RELATIVELY SHORT EXPONENTIAL SUMS INVOLVING FOURIER COEFFICIENTS OF CUSP FORMS

被引：4

作者：

Ernvall-Hytonen, Anne-Maria ^{[1
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 01期

基金：

芬兰科学院;

关键词：

Fourier coefficients; cusp forms; exponential sums; mean square;

D O I：

10.5186/aasfm.2015.4019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We estimate the mean square of a short exponential sum involving Fourier coefficients of a cusp form with a linear twist, a smooth weight function, and a relatively short averaging interval.

引用

页码：385 / 395

页数：11

共 12 条

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