Abstract:
We study the irreducibility of general bivariate polynomials over algebraically closed fields
of characteristic zero. We obtain factorization conditions in terms of the degree index
and we deduce the irreducibility for classes of polynomials that include that of
quasi-generalized difference polynomials.
Key Words: Irreducible polynomials, polynomial factorization.
2000 Mathematics Subject Classification: Primary: 12E05;
Secondary: 11R09.
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