Theta series and trace formula for Jacobi forms (Q1309112)

In this note the author announces results on the general type of Jacobi cusp forms defined on \(H_ n\times M(n\times j;\mathbb{C})\) as studied by \textit{C. Ziegler} [Abh. Math. Semin. Univ. Hamb. 59, 191-224 (1989; Zbl 0707.11035)]. In his main result he reduces the trace formula for Jacobi cusp forms of weight \(k\) to the trace formula of vector valued Siegel cusp forms of degree \(n\) and weight \(k-j/2\). As an application he obtains a dimension formula in a special case.