{
  "id": "2107.06864",
  "version": "v1",
  "published": "2021-06-25T22:20:41.000Z",
  "updated": "2021-06-25T22:20:41.000Z",
  "title": "Explicit Evaluations of Spieß's Results on Harmonic Numbers",
  "authors": [
    "Ce Xu",
    "Xixi Zhang",
    "Jianqiang Zhao"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In this paper, we extend the definition of multiple harmonic sum, and obtain some explicit evaluations of Spie\\ss's results on harmonic numbers by using the extended multiple harmonic sum. Further, we also provided some explicit formulas of Jin and Sun's results on harmonic numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-25T22:20:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic numbers",
      "explicit evaluations",
      "spießs results",
      "extended multiple harmonic sum",
      "suns results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}