Contents Online
Mathematical Research Letters
Volume 14 (2007)
Number 1
Maass-Jacobi forms over complex quadratic fields
Pages: 137 – 156
DOI: https://dx.doi.org/10.4310/MRL.2007.v14.n1.a12
Authors
Abstract
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.
Published 1 January 2007