{
  "id": "1508.07918",
  "version": "v1",
  "published": "2015-08-31T17:05:46.000Z",
  "updated": "2015-08-31T17:05:46.000Z",
  "title": "Core partitions with distinct parts",
  "authors": [
    "Huan Xiong"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we study $(t, t + 1)$-core partitions with distinct parts. We obtain results on the number, the largest size and the average size of such partitions, which verify a conjecture of Amdeberhan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-31T17:05:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P81"
    ],
    "keywords": [
      "distinct parts",
      "core partitions",
      "amdeberhan"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807918X"
    }
  }
}