{
  "id": "math/0510585",
  "version": "v3",
  "published": "2005-10-27T04:33:00.000Z",
  "updated": "2005-11-05T01:56:28.000Z",
  "title": "Sharp Bounds for the Harmonic Numbers",
  "authors": [
    "Mark B. Villarino"
  ],
  "comment": "7 pages. Typos corrected. Several improvements in the exposition. Considerable strengthening of theorem 3 on the DeTemple-Wang approximation. Updated references, thanks to Dr. Feng Qi",
  "categories": [
    "math.CA"
  ],
  "abstract": "We obtain best possible upper and lower bounds for the Lodge-Ramanujan and DeTemple-Wang approximations to the nth Harmonic Number",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-11-05T01:56:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15"
    ],
    "keywords": [
      "sharp bounds",
      "nth harmonic number",
      "detemple-wang approximations",
      "lower bounds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....10585V"
    }
  }
}