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Computing Jacobi forms

Published in LMS Journal of Computation and Mathematics • Jan 1, 2016
NobleIDNI0P56W44R76S27
Authors:
Nathan C. Ryan
,
Nicolás Sirolli
,
Nils-Peter Skoruppa

Abstract

We describe an implementation for computing holomorphic and skew-holomorphic Jacobi forms of integral weight and scalar index on the full modular group. This implementation is based on formulas derived by one of the authors which express Jacobi forms in terms of modular symbols of elliptic modular f...

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