Some Pólya-Type Irreducibility Criteria for Multivariate Polynomials
Nicolae Ciprian Bonciocat, Yann Bugeaud, Mihai Cipu, Maurice Mignotte · Communications in Algebra · 2012
We provide irreducibility criteria for multivariate polynomials with coefficients in an arbitrary field that extend a classical result of Pólya for polynomials with integer coefficients. In particular, we provide irreducibility conditions for polynomials of the form f(X)(Y − f 1(X))…(Y − f n (X)) + g(X), with f, f 1, ⋅, f n , g univariate polynomials over an arbitrary field.