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Autore principale: Mamo, Daniel
Natura: Preprint
Pubblicazione: 2019
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Accesso online:https://arxiv.org/abs/1911.08866
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author Mamo, Daniel
author_facet Mamo, Daniel
contents In this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a cuspidal Katz eigenform which admits an irreducible Galois representation is in the level and weight old space of a uniquely associated Katz newform. We also set up multiplicity one results for Katz eigenforms which have reducible Galois representation.
format Preprint
id arxiv_https___arxiv_org_abs_1911_08866
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle A newform theory for Katz modular forms
Mamo, Daniel
Number Theory
In this paper, a strong multiplicity one theorem for Katz modular forms is studied. We show that a cuspidal Katz eigenform which admits an irreducible Galois representation is in the level and weight old space of a uniquely associated Katz newform. We also set up multiplicity one results for Katz eigenforms which have reducible Galois representation.
title A newform theory for Katz modular forms
topic Number Theory
url https://arxiv.org/abs/1911.08866