[en] In this thesis, 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.
Disciplines :
Mathématiques
Auteur, co-auteur :
MAMO, Daniel Berhanu ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC)
Langue du document :
Anglais
Titre :
A newform theory for Katz modular forms
Date de soutenance :
02 décembre 2020
Nombre de pages :
50
Institution :
Unilu - University of Luxembourg, Esch-sur-Alzette, Luxembourg
