On the Factorization of Polynomials Over Discrete Valuation Domains

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=0daiXd-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.