{
  "id": "1710.01677",
  "version": "v1",
  "published": "2017-10-04T16:16:34.000Z",
  "updated": "2017-10-04T16:16:34.000Z",
  "title": "On the distribution of Dedekind sums",
  "authors": [
    "Kurt Girstmair"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Dedekind sums have applications in quite a number of fields of mathematics. Therefore, their distribution has found considerable interest. This article gives a survey of several aspects of the distribution of these sums. In particular, it highlights results about the values of Dedekind sums, their density and uniform distribution. Further topics include mean values, large and small (absolute) values, and the behaviour of Dedekind sums near quadratic irrationals. The present paper can be considered as a supplement to the survey article [R. W. Bruggeman, On the distribution of Dedekind sums, Contemp. Math. 166 (1994), 197--210].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-04T16:16:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F20"
    ],
    "keywords": [
      "dedekind sums",
      "highlights results",
      "uniform distribution",
      "mean values",
      "quadratic irrationals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}