Computations with classical and p-adic modular forms

被引：18

作者：

Lauder, Alan G. B. ^{[1
]}

机构：

[1] Math Inst, Oxford OX1 3LB, England

来源：

LMS JOURNAL OF COMPUTATION AND MATHEMATICS | 2011年 / 14卷

基金：

欧洲研究理事会;

关键词：

FAMILIES;

D O I：

10.1112/S1461157011000155

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present p-adic algorithms for computing Hecke polynomials and Hecke eigenforms associated to spaces of classical modular forms, using the theory of overconvergent modular forms. The algorithms have a running time which grows linearly with the logarithm of the weight and are well suited to investigating the dimension variation of certain p-adically defined spaces of classical modular forms.

引用

页码：214 / 231

页数：18

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