On singular modular forms for principal congruence subgroups

被引：0

作者：

Chiera, FL ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

MATHEMATISCHE ZEITSCHRIFT | 2006年 / 253卷 / 03期

关键词：

Siegel modular forms; theta series;

D O I：

10.1007/s00209-005-0911-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that spaces of vector - valued singular modular forms for principal congruence subgroups of the symplectic group Sp(n, Z) of integral weight k < n/2 < 2k are generated by suitable finite dimensional families of Siegel theta series. This is obtained as an application of some results concerning the action of trace operators on non - homogeneous theta series.

引用

页码：461 / 477

页数：17

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