Harmonic Maass form eigencurves
Number Theory
2018-01-24 v4
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 -adic harmonic Maass forms in the sense of Serre.
Keywords
Cite
@article{arxiv.1703.09633,
title = {Harmonic Maass form eigencurves},
author = {Ian Wagner},
journal= {arXiv preprint arXiv:1703.09633},
year = {2018}
}
Comments
The fourth version has been accepted in Research in the Mathematical Sciences