关于Jacobi形式空间的一个分类

A Classification of Jacobi Forms Wang Juping Lu Fang +

设２Ｓ是单模整矩阵，Ｊｋ，Ｓ（Γ）是Γ上权ｋ，指标Ｓ的Ｊａｃｏｂｉ形式空间．当２ｋ＜ｎ＋ｒａｎｋＳ时，我们给出了Ｊａｃｏｂｉ形式空间的完全分类。

Let 2 S be a unimodular matrix and J k,S (Γ) denote the linear space of Jacobi forms of weught k and index S . A complete classification of Jocob form space is given with 2 K<n +rank S . Moreover,a rank formula is given for any element in J k,S (Γ) .