Computing Genus 1 Jacobi Forms

Understand

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.