An identification for Eisenstein polynomials over a p-adic field
  In this note, we give a criteria whether given two Eisenstein polynomials over a padic field define the same extension (Proposition 1.6). In particular, we completely identify Eisenstein polynomials of degree p (Theorem 1.16). This note is an English translation of a part of the original paper [12]. 
Shun'ichi Yokoyama and Manabu Yoshida
math.NT