Mamo, Daniel Berhanu[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > >]
2-Dec-2020
University of Luxembourg, Esch sur Alzette, Luxembourg
Doctor of Science in Mathematics
50
Wiese, Gabor
[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.