Hecke operators and derivatives of L-functions

被引：7

作者：

Diamantis, N ^{[1
]}

机构：

[1] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

COMPOSITIO MATHEMATICA | 2001年 / 125卷 / 01期

关键词：

cusp forms; L-functions; derivatives; cocycles; periods; period polynomial; Eichler-Shimura relations; Hecke operators;

D O I：

10.1023/A:1002648306247

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new way of studying derivatives of L-functions of cusp forms by associating to them cocycles analogous, in function, to the period polynomial. The main result gives a description of the effect of Hecke operators on these cocycles.

引用

页码：39 / 54

页数：16

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