Jacobi forms of theta type

Abstract

Let $L$ 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 $D_4$ which is based on additional symmetries of the Coxeter diagram.

References in corpus (2)

• Reflective modular forms in algebraic geometry
• Modular forms of orthogonal type and Jacobi theta-series