Formal series of Jacobi forms
Number Theory
2024-12-30 v1
Abstract
We prove for general paramodular level that formal series of scalar Jacobi forms with an involution condition necessarily converge and are therefore the Fourier-Jacobi expansions at the standard 1-cusp of paramodular Fricke eigenforms.
Cite
@article{arxiv.2412.18746,
title = {Formal series of Jacobi forms},
author = {Hiroki Aoki and Tomoyoshi Ibukiyama and Cris Poor},
journal= {arXiv preprint arXiv:2412.18746},
year = {2024}
}