Matthew Krauel
Published 2013-07-20, updated 2014-09-06Version 2
We consider a generalization of Jacobi theta series and show that every such function is a quasi-Jacobi form. Under certain conditions we establish transformation laws for these functions with respect to the Jacobi group and prove such functions are Jacobi forms. In establishing these results we construct other functions which are also Jacobi forms. These results are motivated by applications in the theory of vertex operator algebras.
Comments: 13 pages. Post review corrections made, refined Theorem 1.3 to a stronger statement
Journal: Int. J. Number Theory, Vol. 10, Iss. 6, pp 1343-1354. 2014
Poincaré and Eisenstein series for Jacobi forms of lattice index
$Λ$-adic Families of Jacobi Forms
Generlized Frobenius partitions, Motzkin paths, and Jacobi forms
![QR code for arXiv:1307.5369 [math.NT]](http://oss.arxitics.com/images/favicon.svg)