Harmonic Maass form eigencurves

Ian Wagner

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Harmonic Maass form eigencurves

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arxiv 1703.09633 v4 pith:GH6R4AET submitted 2017-03-28 math.NT

Harmonic Maass form eigencurves

Ian Wagner This is my paper

classification math.NT

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.

Harmonic Maass form eigencurves

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