{ "id": "1105.5520", "version": "v2", "published": "2011-05-27T10:39:29.000Z", "updated": "2013-02-05T15:11:59.000Z", "title": "An identification for Eisenstein polynomials over a p-adic field", "authors": [ "Shun'ichi Yokoyama", "Manabu Yoshida" ], "comment": "7 pages", "categories": [ "math.NT" ], "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].", "revisions": [ { "version": "v2", "updated": "2013-02-05T15:11:59.000Z" } ], "analyses": { "subjects": [ "11S05", "11S15" ], "keywords": [ "p-adic field", "identification", "padic field define", "original paper", "identify eisenstein polynomials" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.5520Y" } } }