On the Fourier coefficients of modular forms of half-integral weight

被引：4

作者：

Prasanna, Kartik ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

FORUM MATHEMATICUM | 2010年 / 22卷 / 01期

关键词：

L-SERIES; VALUES;

D O I：

10.1515/FORUM.2010.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a formula relating the Fourier coefficients of a modular form of half-integral weight to the special values of L-functions. The form in question is an explicit theta lift from the multiplicative group of an indefinite quaternion algebra over Q. This formula has applications to proving the nonvanishing of this lift and to an explicit version of the Rallis inner product formula.

引用

页码：153 / 177

页数：25

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