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A newform theory for Katz modular forms
Berhanu, Daniel
2020
 

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Abstract :
[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
Language :
English
Title :
A newform theory for Katz modular forms
Publication date :
02 January 2020
Version :
Final version
Number of pages :
11
Funders :
Luxembourg National Research Fund PRIDE 15/10949314/GSM.
Available on ORBilu :
since 02 January 2020

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