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math.NT2017
Regularized inner products and weakly holomorphic Hecke eigenforms
Kathrin Bringmann, Ben Kane
We show that the image of repeated differentiation on weak cusp forms is precisely the subspace which is orthogonal to the space of weakly holomorphic modular forms. This gives a n…
math.NT2017
Taylor coefficients of non-holomorphic Jacobi forms and applications
Kathrin Bringmann
In this paper, we prove modularity results of Taylor coefficients of certain non-holomorphic Jacobi forms. It is well-known that Taylor coefficients of holomorphic Jacobi forms are…