A generalized Shimura correspondence for newforms

被引：6

作者：

Mao, Zhengyu ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math & Comp Sci, Newark, NJ 07102 USA

来源：

JOURNAL OF NUMBER THEORY | 2008年 / 128卷 / 01期

基金：

美国国家科学基金会;

关键词：

Shimura correspondence; half integral weight forms; special values of L-functions;

D O I：

10.1016/j.jnt.2007.03.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We associate a set of half integral weight forms to an integral weight newform of odd level. We prove an explicit identity relating the central values of the twist L-functions of the newform to the Fourier coefficients of the half integral weight forms. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：71 / 95

页数：25

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