Splitting fields of X^n-X-1 and modular forms

Reference : Splitting fields of X^n-X-1 and modular forms


	Document type :	Scientific Presentations in Universities or Research Centers : Scientific presentation in universities or research centers
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/51895

Title :	Splitting fields of X^n-X-1 and modular forms
Language :	English
Author, co-author :	Wiese, Gabor [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
Publication date :	21-Jul-2022
Audience :	International
Event name :	Hong Kong University Number Theory Days 2022
Event date :	21/7/2022 - 25/7/2022
Event country :	Hong Kong (online)
Abstract :	[en] In his article `On a theorem of Jordan', Serre considered the family of polynomials f_n(X) = X^n-X-1 and the counting function of the number of roots of f_n over the finite field F_p, seen as function in p. He explicitly showed the `modularity' of this function for n=3,4. In this talk, I report on joint work with Alfio Fabio La Rosa and Chandrashekhar Khare, in which we treat the case n=5 in several different ways.
Permalink :	http://hdl.handle.net/10993/51895

There is no file associated with this reference.

All documents in ORBi^lu are protected by a user license.