On the Factorization of Polynomials Over Discrete Valuation Domains
Doru Michael Stefanescu · Analele Universităţii "Ovidius" Constanţa. Seria Matematică · 2014
Abstract We study some factorization properties for univariate polynomials with coefficients in a discrete valuation domain ( A,v ). We use some properties of the Newton index of a polynomial F ( X ) = ∑ i = 0 d a i X d - i ∈ A [ X ] to deduce conditions on v ( a i ) that allow us to find some information on the degree of the factors of F .