{
  "id": "1004.4476",
  "version": "v2",
  "published": "2010-04-26T10:49:10.000Z",
  "updated": "2010-08-31T08:48:07.000Z",
  "title": "Asymptotics of Young tableaux in the strip, the $d$-sums",
  "authors": [
    "A. Regev"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "The asymptotics of the \"strip\" sums $S_\\ell^{(\\al)}(n)$ and of their $d$-sums generalizations $T_{d,ds}^{(\\al)}(dm)$ (see Definition~\\ref{definition1}) were calculated in~\\cite{regev}. It was recently noticed that when $d>1$ there is a certain confusion about the relevant notations in~\\cite{regev}, and the constant in the asymptotics of these $d$-sums $T_{d,ds}^{(\\al)}(dm)$ seems to be off by a certain factor. Based on the techniques of~\\cite{regev} we again calculate the asymptotics of the $d$-sums $T_{d,ds}^{(\\al)}(dm)$. We do it here carefully and with complete details. This leads to Theorem~\\ref{d.sum222} below, which replaces Corollary 4.4 of~\\cite{regev} in the cases $d>1$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-08-31T08:48:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A16",
      "34M30"
    ],
    "keywords": [
      "young tableaux",
      "asymptotics",
      "sums generalizations",
      "replaces corollary"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.4476R"
    }
  }
}