{ "id": "1612.03768", "version": "v1", "published": "2016-12-12T16:24:31.000Z", "updated": "2016-12-12T16:24:31.000Z", "title": "On a diophantine equation of Muneer", "authors": [ "Melvyn B. Nathanson" ], "comment": "5 pages", "categories": [ "math.NT" ], "abstract": "For every positive integer $n$, an infinite family of positive integral solutions of the diophantine equation $x^n - y^n = z^{n+1}$ is constructed.", "revisions": [ { "version": "v1", "updated": "2016-12-12T16:24:31.000Z" } ], "analyses": { "subjects": [ "11D25", "11A99" ], "keywords": [ "diophantine equation", "positive integral solutions", "positive integer" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }