Finding all Borcherds product paramodular cusp forms of a given weight and level
Cris Poor, Jerry Shurman, and David S. Yuen
TL;DR
This paper introduces an algorithm to compute all Borcherds product paramodular cusp forms for specified weight and level, providing detailed implementation and practical examples.
Contribution
It presents a novel algorithm for systematically finding all such cusp forms, advancing computational methods in this area.
Findings
Successfully computed examples of cusp forms
Demonstrated the algorithm's effectiveness and accuracy
Provided detailed implementation guidance
Abstract
We present an algorithm to compute all Borcherds product paramodular cusp forms of a specified weight and level, describing its implementation in some detail and giving examples of its use.
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