{
  "id": "1406.7317",
  "version": "v1",
  "published": "2014-06-27T21:00:15.000Z",
  "updated": "2014-06-27T21:00:15.000Z",
  "title": "Combinatorial Interpretation of General Eulerian Numbers",
  "authors": [
    "Tingyao Xiong",
    "Jonathan I. Hall",
    "Hung-ping Tsao"
  ],
  "comment": "Journal of Discrete Mathematics, vol. 2014, Article ID 870596, 6 pages, 2014",
  "doi": "10.1155/2014/870596",
  "categories": [
    "math.CO"
  ],
  "abstract": "Since 1950s, mathematicians have successfully interpreted the traditional Eulerian numbers and $q-$Eulerian numbers combinatorially. In this paper, the authors give a combinatorial interpretation to the general Eulerian numbers defined on general arithmetic progressions { a, a+d, a+2d,...}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-27T21:00:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial interpretation",
      "general arithmetic progressions",
      "traditional eulerian numbers",
      "general eulerian numbers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Hindawi",
      "journal": "Adv. High Energ. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.7317X"
    }
  }
}