An identification for Eisenstein polynomials over a p-adic field
Number Theory
2013-02-06 v2
Abstract
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].
Cite
@article{arxiv.1105.5520,
title = {An identification for Eisenstein polynomials over a p-adic field},
author = {Shun'ichi Yokoyama and Manabu Yoshida},
journal= {arXiv preprint arXiv:1105.5520},
year = {2013}
}
Comments
7 pages