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math.NT2009★ 2 cited
Some aspects of Hermitian Jacobi forms
Soumya Das
We introduce a certain differential (heat) operator on the space of Hermitian Jacobi forms of degree 1, show it's commutation with certain Hecke operators and use it to construct a…
math.NT2009
Note on Hermitian Jacobi Forms
Soumya Das
We compare the spaces of Hermitian Jacobi forms (HJF) of weight and indices with classical Jacobi forms (JF) of weight and indices . Using the embedding into J…
math.NT2009
Non-vanishing of Jacobi Poincaré series
Soumya Das
We prove that under suitable conditions, the Jacobi Poincaré series of exponential type of integer weight and matrix index does not vanish identically. For classical Jacobi forms,…