{
  "id": "1607.06573",
  "version": "v1",
  "published": "2016-07-22T06:49:12.000Z",
  "updated": "2016-07-22T06:49:12.000Z",
  "title": "Almost universal ternary sums of polygonal numbers",
  "authors": [
    "Anna Haensch",
    "Ben Kane"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For a natural number $m$, generalized $m$-gonal numbers are those numbers of the form $p_m(x)=\\frac{(m-2)x^2-(m-4)x}{2}$ with $x\\in \\mathbb Z$. In this paper we establish conditions on $m$ for which the ternary sum $p_m(x)+p_m(y)+p_m(z)$ is almost universal.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-22T06:49:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E20",
      "11E25",
      "11E45",
      "11E81",
      "11H55",
      "05A30"
    ],
    "keywords": [
      "universal ternary sums",
      "polygonal numbers",
      "natural number",
      "establish conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}