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UNIVERSITY OF BUCHAREST FACULTY OF PHYSICS Guest 2024-11-22 2:27 |
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Conference: Bucharest University Faculty of Physics 2013 Meeting
Section: Theoretical Physics and Applied Mathematics
Title: Families of irreducible polynomials
Authors: Doru Stefanescu
Affiliation: Faculty of Physics, University of Bucharest
E-mail doru.stefanescu@gmail.com
Keywords: Irreducible polynomials, polynomial factorization
Abstract: We give a method for constructing families of bivariate irrreducible polynomials F(x,y) over algebraically closed fields of characteristic zero. It applies to polynomials for whcih the degree index is close to deg_x(P_d)/d, where d is the degree with respect to y of the polynomial F and P_d(x) is the free term of F with respect to y. The families that
we consider includes that of generalized difference
polynomials.
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