{
  "id": "1808.09264",
  "version": "v1",
  "published": "2018-08-28T13:06:39.000Z",
  "updated": "2018-08-28T13:06:39.000Z",
  "title": "A Set of Conjectured Identities for Stirling Numbers of the First Kind",
  "authors": [
    "Paul Federbush"
  ],
  "comment": "3 pages",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Given an integer g, g > 1, an integer w, -1 < w <g - 1, and a set of g distinct numbers, c_1, ..., c_g, we present a conjectured identity for Stirling numbers of the first kind. We have proven all the equalities in case g < 7; and for the case g = 7, provided w < 4. These expressions arise from an aspect of the study of the dimer-monomer problem on regular graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-28T13:06:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "first kind",
      "stirling numbers",
      "conjectured identity",
      "regular graphs",
      "expressions arise"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}