Hecke duality relations of Jacobi forms
Number Theory
2007-12-05 v2
Abstract
In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished embedded Hecke operators. We then show that this space is Hecke invariant with respect to all good Hecke operators. As explicit examples we give Eisenstein series. Conversely we show the existence of forms that are not contained in this space.
Keywords
Cite
@article{arxiv.0711.2532,
title = {Hecke duality relations of Jacobi forms},
author = {Kathrin Bringmann and Bernhard Heim},
journal= {arXiv preprint arXiv:0711.2532},
year = {2007}
}
Comments
17 pages