{
  "id": "1007.3833",
  "version": "v1",
  "published": "2010-07-22T09:17:39.000Z",
  "updated": "2010-07-22T09:17:39.000Z",
  "title": "Asymptotics of Young tableaux in the $(k,\\ell)$ hook",
  "authors": [
    "A. Berele",
    "A. Regev"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The asymptotics of the \"$(k,\\ell)$ hook\" sums $S_{k,\\ell}^{(2z)}(n)$ (see~\\eqref{the.sums.1}) were calculated in~\\cite{berele}. It was recently realized that in~\\cite[Section 7]{berele} there are few misprints and certain confusion with regard to the notations, so that the precise asymptotics of $S_{k,\\ell}^{(2z)}(n)$ is not clear. Here we add more details and carefully repeat these calculations, which lead to explicit values for the asymptotics of $S_{k,\\ell}^{(2z)}(n).$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-07-22T09:17:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A16",
      "34M30"
    ],
    "keywords": [
      "young tableaux",
      "precise asymptotics",
      "explicit values",
      "calculations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3833B"
    }
  }
}