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arXiv · 1703.09633

Harmonic Maass form eigencurves

Ian Wagner
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Abstract

We construct two families of harmonic Maass Hecke eigenforms. This construction answers a question of Mazur about the existence of an "eigencurve-type" object in the world of harmonic Maass forms. Using these families, we construct $p$-adic harmonic Maass forms in the sense of Serre.

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Ian Wagner. 2017-03-28. Harmonic Maass form eigencurves. https://arxiv.org/abs/1703.09633

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