{ "id": "2006.03787", "version": "v1", "published": "2020-06-06T06:00:31.000Z", "updated": "2020-06-06T06:00:31.000Z", "title": "Irreducibility of $x^n-a$", "authors": [ "Biswajit Koley", "A. Satyanarayana Reddy" ], "comment": "4 pages", "journal": "The Mathematics Student, V89,169-174, 2020", "categories": [ "math.NT" ], "abstract": "A. Capelli gave a necessary and sufficient condition for the reducibility of $x^n-a$ over $\\Q$. In this article, we are providing an alternate elementary proof for the same.", "revisions": [ { "version": "v1", "updated": "2020-06-06T06:00:31.000Z" } ], "analyses": { "subjects": [ "11R09", "12D05" ], "keywords": [ "irreducibility", "alternate elementary proof", "capelli gave", "sufficient condition" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }