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

被引:4
作者
Martin, Yves [1 ]
Osses, Denis [1 ]
机构
[1] Univ Chile, Dept Matemat, Fac Ciencias, Santiago, Chile
关键词
Jacobi forms; Dirichlet series; Functional equations; SERIES;
D O I
10.1007/s11139-010-9258-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We generalize Weil's converse theorem to Jacobi cusp forms of weight k, index m and Dirichlet character chi over the group Gamma(0)(N) proportional to Z(2). 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
收藏
页码:155 / 183
页数:29
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