{
  "id": "1410.2061",
  "version": "v1",
  "published": "2014-10-08T11:06:35.000Z",
  "updated": "2014-10-08T11:06:35.000Z",
  "title": "On the largest size of $(t,t+1,..., t+p)$-core partitions",
  "authors": [
    "Huan Xiong"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we prove that Amdeberhan's conjecture on the largest size of $(t, t+1, t+2)$-core partitions is true. We also show that the number of $(t, t + 1, t + 2)$-core partitions with the largest size is $1$ or $2$ based on the parity of $t$. More generally, the largest size of $(t,t+1,..., t+p)$-core partitions and the number of such partitions with the largest size are determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-08T11:06:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11P81"
    ],
    "keywords": [
      "core partitions",
      "largest size",
      "amdeberhans conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.2061X"
    }
  }
}