Regularized inner products and weakly holomorphic Hecke eigenforms

Published 6 Nov 2017 in math.NT | (1711.01733v1)

Abstract: 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 new interpretation of the weakly holomorphic Hecke eigenforms.

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