Abstract
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.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
This work was supported by CNCSIS-UEFISCDI, project PNII-IDEI 443, code 1190/2008, and by a project LEA CNRS Franco-Roumain Math-Mode.
Notes
Communicated by T. Albu.