{
  "id": "1507.00369",
  "version": "v1",
  "published": "2015-06-18T08:33:53.000Z",
  "updated": "2015-06-18T08:33:53.000Z",
  "title": "On a Conjecture on the Representation of Positive Integers as the Sum of Three Terms of the Sequence $\\left\\lfloor \\frac{n^2}{a} \\right\\rfloor$",
  "authors": [
    "Sebastian Tim Holdum",
    "Frederik Ravn Klausen",
    "Peter Michael Reichstein Rasmussen"
  ],
  "comment": "5 pages",
  "journal": "J. Integer Seq., 18 (2015), Article 15.6.3",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove some cases of a conjecture by Farhi on the representation of every positive integer as the sum of three terms of the sequence $ \\left\\lfloor\\frac{n^2}{a}\\right\\rfloor$. This is done by generalizing a method used by Farhi in his original paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-18T08:33:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B13"
    ],
    "keywords": [
      "positive integer",
      "conjecture",
      "representation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150700369H"
    }
  }
}