Reference : A newform theory for Katz modular forms
Dissertations and theses : Doctoral thesis
Physical, chemical, mathematical & earth Sciences : Mathematics
Computational Sciences
A newform theory for Katz modular forms
Mamo, Daniel Berhanu mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > >]
University of Luxembourg, ​Esch sur Alzette, ​​Luxembourg
Doctor of Science in Mathematics
Wiese, Gabor mailto
[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.

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