{
  "id": "2304.09753",
  "version": "v1",
  "published": "2023-04-18T04:54:43.000Z",
  "updated": "2023-04-18T04:54:43.000Z",
  "title": "On some conjectures of Z.-W. Sun involving harmonic numbers",
  "authors": [
    "Chuanan Wei"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "Harmonic numbers are significant in various branches of number theory. With the help of the digamma function, we prove ten conjectural series of Z.-W. Sun involving harmonic numbers. Several ones of them are also series expansions of $\\log2/\\pi^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-04-18T04:54:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "harmonic numbers",
      "conjectures",
      "number theory",
      "digamma function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}