Rankin-Cohen Brackets for Hermitian Jacobi Forms and Hermitian Modular Forms
Description:
In this thesis, we define differential operators for Hermitian Jacobi forms and Hermitian modular forms over the Gaussian number field Q(i). In particular, we construct Rankin-Cohen brackets for such spaces of Hermitian Jacobi forms and Hermitian modular forms. As an application, we extend Rankin's method to the case of Hermitian Jacobi forms. Finally we compute Fourier series coefficients of Hermitian modular forms, which allow us to give an example of the first Rankin-Cohen bracket of two Her…
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Date:
December 2016
Creator:
Martin, James D. (James Dudley)
Partner:
UNT Libraries