Jacobi Forms and Theta Quotients Code

Published: 26 July 2021| Version 1 | DOI: 10.17632/y8jwz86ksy.1
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Description

This is a Mathematica notebook that computes the holomorphic theta quotients and bases of weak Jacobi forms of weight 0 for arbitrary index, as well as extracts their polar coefficients and computes the dimensions of the corresponding function spaces. The notebook is the companion code for the computations used in arXiv:2011.02611, 'On the Space of Weak Jacobi Forms'. It works with Mathematica Versions 10 and 11, and possibly older versions.

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Steps to reproduce

Download the Mathematica notebook and read the commented code therein. You may simply start executing the notebook if you like. The notebook is confirmed to work with Mathematica 10 and 11. In order to obtain a working kernel for execution, you may need either a license or a subscription to Mathematica.