Computing Genus 1 Jacobi Forms
Number Theory
2014-09-19 v2 Algebraic Geometry
Abstract
We develop an algorithm to compute Fourier expansions of vector valued modular for Weil representations. As an application, we compute explicit linear equivalences of special divisors on modular varieties of orthogonal type. We define three families of Hecke operators for Jacobi forms, and analyze the induced action on vector valued modular forms. The newspaces attached to one of these families are used to give a more memory efficient version of our algorithm.
Cite
@article{arxiv.1212.1834,
title = {Computing Genus 1 Jacobi Forms},
author = {Martin Raum},
journal= {arXiv preprint arXiv:1212.1834},
year = {2014}
}
Comments
31 pages, code available via github, additional data available at the author's webpage