SIMPLE ARITHMETICAL CRITERIA FOR IRREDUCIBILITY OF POLYNOMIALS WITH INTEGER COEFFICIENTS
Natalio H. Guersenzvaig · 2014
A simultaneous generalization of well-known arithmetical criteria for irreducibility in Q[X] of polynomials in Z[X], including a classical result of G. Pólya and G. Szegö, will be achieved via a general framework for that family of irreducibility criteria. A further generalization, which for any f(X) ∈ Z[X] provides an arithmetical function whose values are upper bounds for the number of irreducible factors of f(X) in Q[X], will also be established.