{
  "id": "1902.06724",
  "version": "v1",
  "published": "2019-02-18T18:51:47.000Z",
  "updated": "2019-02-18T18:51:47.000Z",
  "title": "On a theorem of Baxter and Zeilberger via a result of Roselle",
  "authors": [
    "Joshua P. Swanson"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We provide a new proof of a result of Baxter and Zeilberger showing that inv and maj on permutations are jointly independently asymptotically normally distributed. The main feature of our argument is that it uses a generating function due to Roselle, answering a question raised by Romik and Zeilberger.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-18T18:51:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A16"
    ],
    "keywords": [
      "zeilberger",
      "main feature",
      "generating function",
      "permutations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}