A characterization of degree two Siegel cusp forms by the growth of their Fourier coefficients

被引：9

作者：

Kohnen, Winfried ^{[1
]}

Martin, Yves ^{[2
]}

机构：

[1] Heidelberg Univ, Math Inst, D-69120 Heidelberg, Germany

[2] Univ Chile, Fac Ciencias, Dept Matemat, Santiago 1, Chile

来源：

FORUM MATHEMATICUM | 2014年 / 26卷 / 05期

关键词：

Siegel modular forms; Jacobi forms; Fourier coefficients; MODULAR-FORMS;

D O I：

10.1515/forum-2011-0142

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize all cusp forms among the degree two Siegel modular forms by the growth of their Fourier coefficients. We also give a similar result for Jacobi forms over the group SL2(Z) Z(2).

引用

页码：1323 / 1331

页数：9