UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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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.