{
  "id": "1310.0979",
  "version": "v1",
  "published": "2013-10-03T13:40:42.000Z",
  "updated": "2013-10-03T13:40:42.000Z",
  "title": "Approximation of rational numbers by Dedekind sums",
  "authors": [
    "Kurt Girstmair"
  ],
  "comment": "3 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Given a rational number $x$ and a bound $\\varepsilon$, we exhibit $m,n$ such that $|x-12 s(m,n)|<\\varepsilon$. Here $s(m,n)$ is the classical Dedekind sum and the parameters $m$ and $n$ are completely explicit in terms of $x$ and $\\varepsilon$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-03T13:40:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F20"
    ],
    "keywords": [
      "rational number",
      "approximation",
      "classical dedekind sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0979G"
    }
  }
}