A newform theory for Katz modular forms

Reference : A newform theory for Katz modular forms


	Document type :	Dissertations and theses : Doctoral thesis
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/45321

Title :	A newform theory for Katz modular forms
Language :	English
Author, co-author :	Mamo, Daniel Berhanu [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > >]
Publication date :	2-Dec-2020
Institution :	University of Luxembourg, Esch sur Alzette, Luxembourg
Name of the degree :	Doctor of Science in Mathematics
Number of pages :	50
Supervisor :	Wiese, Gabor
Abstract :	[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.
Target :	Researchers
Permalink :	http://hdl.handle.net/10993/45321

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