{
  "id": "1810.06102",
  "version": "v1",
  "published": "2018-10-14T20:48:39.000Z",
  "updated": "2018-10-14T20:48:39.000Z",
  "title": "New arithmetical proof of the reciprocity law for Dedekind sums",
  "authors": [
    "Mouloud Goubi"
  ],
  "comment": "17 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, for coprime numbers p and q we consider the well known Dedekind sums S(p,q) First, we give an improvement of the proof given by H. Rademacher and A. Whiteman, and we construct a new arithmetical proof for the reciprocity law",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-14T20:48:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11E45",
      "11M26",
      "11B68"
    ],
    "keywords": [
      "reciprocity law",
      "dedekind sums",
      "arithmetical proof",
      "coprime numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}