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.
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页码：561 / 567
页数：7
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