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Authors
Affiliations
1 R.K.M. Vivekananda College, Chennai 600 004, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 23, No 2 (2008), Pagination: 167–182
Abstract
In this paper we generalize the Taylor development map for Jacobi forms of half-integral weight and obtain its adjoint map with respect to the Petersson scalar product. We observe that the study of the Taylor development in the case of half-integral weight Jacobi forms gives several interesting identities. Finally, we show how the Taylor development map occurs in a connection between theta series of degree 2 and degree 1. As a consequence, we prove that Maass space of degree 2 contains theta series if and only if k = 4 ork = 8.
