Generators of Jacobi forms are Poincare series

被引：0

作者：

Richter, Olav K. ^{[1
]}

Skogman, Howard ^{[2
]}

机构：

[1] Univ North Texas, Dept Math, Denton, TX 76203 USA

[2] SUNY Coll Brockport, Dept Math, Brockport, NY 14420 USA

来源：

RAMANUJAN JOURNAL | 2018年 / 45卷 / 03期

关键词：

Weak Jacobi forms; Maass-Jacobi-Poincare series; Theta decomposition;

D O I：

10.1007/s11139-016-9825-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The ring of Jacobi forms of even weights is generated by the weak Jacobi forms and . Bringmann and the first author expressed as a specialization of a Maass-Jacobi-Poincar, series. In this paper, we extend the domain of absolute convergence of Maass-Jacobi-Poincar, series which allows us to show that is also a Poincar, series.

引用

页码：639 / 645

页数：7

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