Jacobi forms of theta type

Martin Woitalla

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arXiv · 1705.04526

Jacobi forms of theta type

Martin Woitalla

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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.

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Martin Woitalla. 2017-05-12. Jacobi forms of theta type. https://arxiv.org/abs/1705.04526

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