Jacobi Forms of Indefinite Lattice Index
arXiv:2009.11400 · doi:10.1007/s40993-021-00288-4
Abstract
We define Jacobi forms of indefinite lattice index, and show that they are isomorphic to vector-valued modular forms also in this setting. We also consider several operations of the two types of objects, and obtain an interesting bilinear map between vector-valued modular forms arising from the product operation.
27 pages, to appear in Research in Number Theory