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.
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页码：897 / 929
页数：33
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