Reference : A newform theory for Katz modular forms
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Physical, chemical, mathematical & earth Sciences : Mathematics
A newform theory for Katz modular forms
Berhanu, Daniel mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
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[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.
University of Luxembourg: Department of Mathematics
Luxembourg National Research Fund PRIDE 15/10949314/GSM.

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