Fourier coefficients of half-integral weight cusp forms and Waring's problem

被引：5

作者：

Waibel, Fabian ^{[1
]}

机构：

[1] Georg August Univ Gottingen, Gottingen, Germany

来源：

RAMANUJAN JOURNAL | 2018年 / 47卷 / 01期

关键词：

Half-integral weight cusp forms; Maa ss forms; Ternary quadratic forms; Waring's problem; QUADRATIC-FORMS; MODULAR-FORMS; THETA-SERIES; BOUNDS;

D O I：

10.1007/s11139-017-9934-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Extending the approach of Iwaniec and Duke, we present strong uniform bounds for Fourier coefficients of half-integral weight cusp forms of level N. As an application, we consider a Waring-type problem with sums of mixed powers.

引用

页码：185 / 200

页数：16

共 21 条

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