{
  "id": "math-ph/0404045",
  "version": "v2",
  "published": "2004-04-19T16:03:06.000Z",
  "updated": "2004-11-25T16:57:04.000Z",
  "title": "On the refined 3-enumeration of alternating sign matrices",
  "authors": [
    "F. Colomo",
    "A. G. Pronko"
  ],
  "comment": "Some comments and references added. To appear in the David Robbins memorial issue of Advances in Applied Mathematics",
  "journal": "Adv.Appl.Math. 34 (2005) 798-811",
  "categories": [
    "math-ph",
    "hep-th",
    "math.CO",
    "math.MP"
  ],
  "abstract": "An explicit expression for the numbers $A(n,r;3)$ describing the refined 3-enumeration of alternating sign matrices is given. The derivation is based on the recent results of Stroganov for the corresponding generating function. As a result, $A(n,r;3)$'s are represented as 1-fold sums which can also be written in terms of terminating ${}_4F_3$ series of argument 1/4.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-11-25T16:57:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "alternating sign matrices",
      "explicit expression",
      "corresponding generating function",
      "derivation"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 648627,
      "adsabs": "2004math.ph...4045C"
    }
  }
}