{
  "id": "1607.07682",
  "version": "v1",
  "published": "2016-07-26T13:18:23.000Z",
  "updated": "2016-07-26T13:18:23.000Z",
  "title": "The largest values of Dedekind sums",
  "authors": [
    "Kurt Girstmair"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $s(m,n)$ denote the classical \\DED sum, where $n$ is a positive integer and $m\\in\\{0,1,\\ldots, n-1\\}$, $(m,n)=1$. For a given positive integer $k$, we describe a set of at most $k^2$ numbers $m$ for which $s(m,n)$ may be $\\ge s(k,n)$, provided that $n$ is sufficiently large. For the numbers $m$ not in this set, $s(m,n)<s(k,n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-26T13:18:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F20"
    ],
    "keywords": [
      "dedekind sums",
      "largest values",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}