{
  "id": "1903.12200",
  "version": "v1",
  "published": "2019-03-28T18:05:49.000Z",
  "updated": "2019-03-28T18:05:49.000Z",
  "title": "Some arithmetic properties of an elliptic Dedekind sum",
  "authors": [
    "Genki Shibukawa"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an explicit expression of the elliptic classical Dedekind sum which is a special case of multiple elliptic Dedekind sums introduced by Egami. We also determine the denominator of the rational part and zeros of the elliptic classical Dedekind sum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-28T18:05:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11",
      "11F20",
      "11M36",
      "33E05"
    ],
    "keywords": [
      "arithmetic properties",
      "elliptic classical dedekind sum",
      "multiple elliptic dedekind sums",
      "special case",
      "explicit expression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}