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.
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页码：639 / 645
页数：7
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