Resumen de Maass-Jacobi forms over complex quadratic fields

Kathrin Bringmann, Charles H. Conley, Olav K. Richter

• We use methods from representation theory and invariant theory to compute differential operators invariant under the action of the Jacobi group over a complex quadratic field. This allows us to introduce Maass-Jacobi forms over complex quadratic fields, which are Jacobi forms that are also eigenfunctions of an invariant differential operator. We present explicit examples via Jacobi-Eisenstein series.