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arxiv: 1711.01733 · v1 · pith:NAE5XEITnew · submitted 2017-11-06 · 🧮 math.NT

Regularized inner products and weakly holomorphic Hecke eigenforms

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keywords holomorphicweaklyeigenformsformsheckecuspdifferentiationgives
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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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