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Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms
Published online by Cambridge University Press: 20 November 2018
Abstract
We construct vector-valued modular forms of weight 2 associated to Jacobi-like forms with respect to a symmetric tensor representation of $\Gamma$ by using the method of Kuga and Shimura as well as the correspondence between Jacobi-like forms and sequences of modular forms. As an application, we obtain vector-valued modular forms determined by theta functions and by pseudodifferential operators.
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- Copyright © Canadian Mathematical Society 2006
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