{
  "id": "0802.1228",
  "version": "v3",
  "published": "2008-02-11T14:59:55.000Z",
  "updated": "2009-05-12T08:03:23.000Z",
  "title": "A generalization of the duality for multiple harmonic sums",
  "authors": [
    "Gaku Kawashima"
  ],
  "comment": "12 pages; minor corrections; to appear in Journal of Number Theory",
  "categories": [
    "math.NT"
  ],
  "abstract": "The duality is a fundamental property of the finite multiple harmonic sums (MHS). In this paper, we prove a duality result for certain generalizations of MHS which appear naturally as the differences of MHS. We also prove a formula for the differences of these generalized MHS.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-05-12T08:03:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalization",
      "finite multiple harmonic sums",
      "differences",
      "duality result",
      "fundamental property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.1228K"
    }
  }
}