Cusp forms for congruence subgroups of Spn(Z) and theta functions

被引：0

作者：

Kopeliovich, Y ^{[1
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92717 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 08期

关键词：

D O I：

10.1090/S0002-9947-98-01820-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we use theta functions with rational characteristic to construct cusp forms for congruence subgroups Gamma(g)(p) of Sp(g, Z).The action of the quotient group Sp(g, Z(p)) on these forms is conjugate to the linear action Of Sp(g,Z(p)) on (Z(p))(2g). We show that these forms are higher-dimensional analogues of the Fricke functions.

引用

页码：3107 / 3118

页数：12

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