[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 :
Mathematics
Author, co-author :
Mamo, Daniel Berhanu ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC)
Language :
English
Title :
A newform theory for Katz modular forms
Defense date :
02 December 2020
Number of pages :
50
Institution :
Unilu - University of Luxembourg, Esch-sur-Alzette, Luxembourg