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arxiv: 1703.09633 · v4 · pith:GH6R4AETnew · submitted 2017-03-28 · 🧮 math.NT

Harmonic Maass form eigencurves

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keywords harmonicmaassconstructfamiliesformsadicanswersconstruction
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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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