{ "id": "1112.5986", "version": "v1", "published": "2011-12-27T16:38:54.000Z", "updated": "2011-12-27T16:38:54.000Z", "title": "The Diophantine Equation x^{2}+11^{m}=y^{n}", "authors": [ "Gokhan Soydan", "Musa Demirci", "Ismail Naci Cangul" ], "comment": "6 pages", "journal": "Advanced Studies in Contemporary Mathematics, Vol.19 , No.2, (2009), 183-188", "categories": [ "math.NT" ], "abstract": "The object of this paper is to give a new proof of all the solutions of the Diophantine equation x^2+11^m=y^n; in positive integers x, y with odd m>1 and n>=3.", "revisions": [ { "version": "v1", "updated": "2011-12-27T16:38:54.000Z" } ], "analyses": { "subjects": [ "11D61", "11Y50" ], "keywords": [ "diophantine equation", "positive integers" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1112.5986S" } } }