{
  "id": "1003.0509",
  "version": "v3",
  "published": "2010-03-02T07:01:40.000Z",
  "updated": "2010-04-27T13:10:56.000Z",
  "title": "Congruences for an arithmetic function from 3-colored Frobenius partitions",
  "authors": [
    "Laizhong Song",
    "Xinhua Xiong"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Let $a(n)$ defined by $\\sum_{n=1}^{\\infty}a(n)q^n := \\prod_{n=1}^{\\infty}\\frac{1}{(1-q^{3n})(1-q^n)^3}.$ In this note, we prove that for every non-negative integer $n$, a(15n+6) \\equiv 0\\pmod{5}, a(15n+12) \\equiv 0\\pmod{5}. As a corollary, we obtained some results of Ono",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-04-27T13:10:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arithmetic function",
      "frobenius partitions",
      "congruences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.0509S"
    }
  }
}