Kernels of L-functions of cusp forms

被引：15

作者：

Diamantis, Nikolaos ^{[2
]}

O'Sullivan, Cormac ^{[1
]}

机构：

[1] CUNY Bronx Community Coll, Dept Math & Comp Sci, Bronx, NY 10453 USA

[2] Univ Nottingham, Dept Math, Nottingham NG7 2RD, England

来源：

MATHEMATISCHE ANNALEN | 2010年 / 346卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

EXPLICIT FORMULAS; HECKE OPERATORS; MODULAR-FORMS;

D O I：

10.1007/s00208-009-0419-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new expression for the inner product of two kernel functions associated to a cusp form. Among other applications, it yields an extension of a formula of Kohnen and Zagier, and another proof of Manin's Periods Theorem. Cohen's representation of these kernels as series is also generalized.

引用

页码：897 / 929

页数：33

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