[en] 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.
Research center :
University of Luxembourg: Department of Mathematics
Disciplines :
Mathematics
Author, co-author :
Berhanu, Daniel ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit