论文标题
偏斜的旋词和谐波maass-jacobi形式和某些弱谐波形式的同构
Isomorphism of Skew-Holomorphic Harmonic Maass-Jacobi Forms and Certain Weak Harmonic Maass Forms
论文作者
论文摘要
最近，Bringmann，Raum和Richter概括了Jacobi形式的定义和Skoruppa的偏斜型Jacobi形式，通过与谐波maass形式相互交织。我们证明了Kohnen's Plus Plus Space类似物的同构，重量$ K-1/2 $ $γ_0（400万）$以及这些偏斜的三晶型和谐波谐波maass-jacobi的空间$ k $ $ k $和$ k $ m $ for $ k $和$ k $ odd od od y ods $ m = 1 $ = 1 $ = 1 $或prime。
Recently Bringmann, Raum and Richter generalised the definition of Jacobi forms and Skoruppa's skew-holomorphic Jacobi forms by intertwining with harmonic Maass forms. We prove the isomorphism of the Kohnen's plus space analogue of harmonic Maass forms of weight $k-1/2$ for $Γ_0(4m)$ and the space of these skew-holomorphic harmonic Maass-Jacobi forms of weight $k$ and index $m$ for $k$ odd and $m=1$ or a prime.
