Rankin-Cohen brackets of Jacobi forms and Jacobi Poincaré series

被引：0

作者：

Jha, Abhash Kumar ^{[1
]}

Pandey, Shivansh ^{[2
]}

机构：

[1] Banaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India

[2] Natl Inst Sci Educ & Res OCC, Homi Bhabha Natl Inst, Sch Math Sci, Bhubaneswar Khurda 752050, Odisha, India

来源：

ACTA ARITHMETICA | 2024年 / 212卷 / 02期

关键词：

Jacobi forms; Rankin-Cohen brackets; Poincare series;

D O I：

10.4064/aa230117-23-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if a Rankin-Cohen bracket of a Jacobi form phi and a complex-valued holomorphic function psi defined on H x C is a Jacobi form, then psi is a Jacobi form. We also study the relation between Rankin-Cohen brackets of Jacobi forms and Jacobi Poincare series.

引用

页码：115 / 132

页数：18

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