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Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms

  Published:2006-09-01
 Printed: Sep 2006
  • Min Ho Lee
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Abstract

We construct vector-valued modular forms of weight 2 associated to Jacobi-like forms with respect to a symmetric tensor representation of $\G$ 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.
MSC Classifications: 11F11, 11F50 show english descriptions Holomorphic modular forms of integral weight
Jacobi forms
11F11 - Holomorphic modular forms of integral weight
11F50 - Jacobi forms
 

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