{
  "id": "1503.03743",
  "version": "v1",
  "published": "2015-03-11T16:01:37.000Z",
  "updated": "2015-03-11T16:01:37.000Z",
  "title": "A result similar to Lagrange's theorem",
  "authors": [
    "Zhi-Wei Sun"
  ],
  "comment": "3 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Generalized octagonal numbers are integers of the form $n(3n-2)$ with $n\\in\\Z$. In this paper we show that every natural number can be written as the sum of four generalized octagonal numbers. This result is similar to Lagrange's theorem on sums of four squares.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-11T16:01:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E25",
      "11B75",
      "11D85",
      "11E20",
      "11P32"
    ],
    "keywords": [
      "lagranges theorem",
      "result similar",
      "generalized octagonal numbers",
      "natural number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150303743S"
    }
  }
}