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Harmonic Maass form eigencurves

Harmonic Maass form eigencurves We construct two families of harmonic Maass Hecke eigenforms. Using these families, we construct p-adic harmonic Maass forms in the sense of Serre. The p-adic properties of these forms answer a question of Mazur about the existence of an “eigencurve-type” object in the world of harmonic Maass forms. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

Harmonic Maass form eigencurves

Research in the Mathematical Sciences , Volume 5 (2) – May 3, 2018

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References (31)

Publisher
Springer Journals
Copyright
Copyright © 2018 by SpringerNature
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Computational Mathematics and Numerical Analysis
eISSN
2197-9847
DOI
10.1007/s40687-018-0141-5
Publisher site
See Article on Publisher Site

Abstract

We construct two families of harmonic Maass Hecke eigenforms. Using these families, we construct p-adic harmonic Maass forms in the sense of Serre. The p-adic properties of these forms answer a question of Mazur about the existence of an “eigencurve-type” object in the world of harmonic Maass forms.

Journal

Research in the Mathematical SciencesSpringer Journals

Published: May 3, 2018

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