{
  "id": "1706.08223",
  "version": "v1",
  "published": "2017-06-26T04:20:37.000Z",
  "updated": "2017-06-26T04:20:37.000Z",
  "title": "Ramanujan-type congruences for certain weighted 7-colored partitions",
  "authors": [
    "Shane Chern",
    "Dazhao Tang"
  ],
  "comment": "15pages,1table",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Inspired by Andrews' 2-colored generalized Frobenius partitions, we consider certain weighted 7-colored partition functions and establish some interesting Ramanujan-type identities and congruences. Moreover, we provide combinatorial interpretations of some congruences modulo 5 and 7. Finally, we study the properties of weighted 7-colored partitions weighted by the parity of certain partition statistics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-26T04:20:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P83",
      "05A30"
    ],
    "keywords": [
      "ramanujan-type congruences",
      "congruences modulo",
      "generalized frobenius partitions",
      "combinatorial interpretations",
      "interesting ramanujan-type identities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}