Jacobi forms that characterize paramodular forms
Number Theory
2012-09-18 v1
Abstract
The Fourier Jacobi expansions of paramodular forms are characterized from among all formal series of Jacobi forms by two conditions on the Fourier coeffcients of the Jacobi forms: a growth condition and a set of linear relations. Examples, both theoretical and computational, indicate that the growth condition may be superfluous.
Keywords
Cite
@article{arxiv.1209.3438,
title = {Jacobi forms that characterize paramodular forms},
author = {Tomoyoshi Ibukiyama and Cris Poor and David S. Yuen},
journal= {arXiv preprint arXiv:1209.3438},
year = {2012}
}