Jacobi forms of theta type
Number Theory
2017-05-19 v2
Abstract
Let be a positive definite even lattice. We introduce theta type Jacobi forms and construct three towers of Jacobi forms with a particular easy pullback-structure. We use theta type Jacobi forms to explain the existence of a cusp form of weight 24 with respect to the irreducible root lattice which is based on additional symmetries of the Coxeter diagram.
Cite
@article{arxiv.1705.04526,
title = {Jacobi forms of theta type},
author = {Martin Woitalla},
journal= {arXiv preprint arXiv:1705.04526},
year = {2017}
}