Maass-Jacobi forms over complex quadratic fields

• Autores: Kathrin Bringmann, Charles H. Conley, Olav K. Richter
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 1, 2007, págs. 137-156
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n1.a12
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• Resumen

  • 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.