{
  "id": "0709.3044",
  "version": "v2",
  "published": "2007-09-19T15:45:53.000Z",
  "updated": "2010-02-10T10:34:01.000Z",
  "title": "Determinants of (generalised) Catalan numbers",
  "authors": [
    "Christian Krattenthaler"
  ],
  "comment": "AmS-TeX, 16 pages; minor corrections",
  "journal": "J. Statist. Plann. Inference 140 (2010), 2260-2270",
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that recent determinant evaluations involving Catalan numbers and generalisations thereof have most convenient explanations by combining the Lindstr\\\"om-Gessel-Viennot theorem on non-intersecting lattice paths with a simple determinant lemma from [Manuscripta Math. 69 (1990), 173-202]. This approach leads also naturally to extensions and generalisations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-02-10T10:34:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A10",
      "05A15",
      "05E10",
      "11C20",
      "15A15",
      "33C45"
    ],
    "keywords": [
      "catalan numbers",
      "simple determinant lemma",
      "convenient explanations",
      "generalisations thereof"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0709.3044K"
    }
  }
}