The dimension of the space of Siegel-Eisenstein series of weight one

被引：3
|
作者：
Gunji, Keiichi [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
MATHEMATISCHE ZEITSCHRIFT | 2008年 / 260卷 / 01期
关键词：
Siegel modular forms; theta functions;
D O I：
10.1007/s00209-007-0269-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In general, it is difficult to determine the dimension of the space of Siegel modular forms of low weights. In particular, the dimensions of the spaces of cusp forms are known in only a few cases. In this paper, we calculate the dimension of the space of Siegel-Eisenstein series of weight 1, which is a certain subspace of a complement of the space of cusp forms.
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页码：187 / 201
页数：15
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