A note on Siegel modular forms

被引：0

作者：

Wang, JP ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 2000年 / 43卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Siegel modular forms; Fourier coefficients; Siegel operators;

D O I：

10.1007/BF02908766

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives a new identification for Siegel modular forms with respect to any congruence subgroup by investigating the properties of their Fourier-Jacobi expansions, and verifies a comparison theorem for the dimensions of the spaces S-n(k)(Gamma(n)) and J(k,1)(0)(Gamma(n)) with small weight k. These results can be used to estimate the dimension of the space of modular forms.

引用

页码：561 / 567

页数：7

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