THE HECKE OPERATORS ON S(K)(GAMMA(1)(N))

被引：0
|
作者：
WANG, XD
机构：
[1] Institute for Experimental Mathematics, University of Essen
来源：
JOURNAL OF SYMBOLIC COMPUTATION | 1994年 / 18卷 / 03期
关键词：
D O I：
10.1006/jsco.1994.1043
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we describe the space of the cusp forms with the weight k for the congruence subgroup GAMMA 1(N), S(k) (GAMMA 1 (N)), using Eichler-Shimura isomorphism, Shapiro lemma and the theory of group cohomology. An algorithm computing an integral basis of S(k) (GAMMA 1 (N)) is developed. Applying the Hecke operators on the basis we can determine newforms in S(k) (GAMMA 1 (N)).
引用
收藏
页码：187 / 198
页数：12
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