A GENERALIZATION OF THE EISENSTEIN-DUMAS-SCHONEMANN IRREDUCIBILITY CRITERION

In 2013, Weintraub gave a generalization of the classical Eisenstein irreducibility criterion in an attempt to correct a false claim made by Eisenstein. Using a different approach, we prove Weintraub's result with a weaker hypothesis in a more general setup that leads to an extension of the generalized Schonemann irreducibility criterion for polynomials with coefficients in arbitrary valued fields.