On the analogue of Weil’s converse theorem for Jacobi forms and their lift to half-integral weight modular forms

被引：0
|
作者：
Yves Martin
Denis Osses
机构：
[1] Universidad de Chile,Departamento de Matemáticas, Facultad de Ciencias
来源：
The Ramanujan Journal | 2011年 / 26卷
关键词：
Jacobi forms; Dirichlet series; Functional equations; 11F50; 11F37; 11F66;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We generalize Weil’s converse theorem to Jacobi cusp forms of weight k, index m and Dirichlet character χ over the group Γ0(N)⋉ℤ2. Then two applications of this result are given; we generalize a construction of Jacobi forms due to Skogman and present a new proof for several known lifts of such Jacobi forms to half-integral weight modular forms.
引用
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页码：155 / 183
页数：28
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