Vector-Valued Modular Forms of Weight Two Associated With Jacobi-Like Forms
Printed: Sep 2006
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.
11F11 - Holomorphic modular forms of integral weight
11F50 - Jacobi forms