{ "id": "1402.5268", "version": "v1", "published": "2014-02-21T12:05:50.000Z", "updated": "2014-02-21T12:05:50.000Z", "title": "Solution of the Diophantine Equation $ x_{1}x_{2}x_{3}\\cdots x_{m-1}=z^n $", "authors": [ "Zahid Raza", "Hafsa Masood Malik" ], "comment": "arXiv admin note: text overlap with arXiv:1307.5328 by other authors", "categories": [ "math.NT", "math.CO" ], "abstract": "This work determine the entire family of positive integer solutions of the diophantine equation. The solution is described in terms of $\\frac{(m-1)(m+n-2)}{2} $ or $\\frac{(m-1)(m+n-1)}{2}$ positive parameters depending on $n$ even or odd. We find the solution of a diophantine system of equations by using the solution of the diophantine equation. We generalized all the results of the paper [5].", "revisions": [ { "version": "v1", "updated": "2014-02-21T12:05:50.000Z" } ], "analyses": { "keywords": [ "diophantine equation", "work determine", "positive integer solutions", "diophantine system" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1402.5268R" } } }