{
  "id": "math/9410212",
  "version": "v1",
  "published": "1994-10-01T00:00:00.000Z",
  "updated": "1994-10-01T00:00:00.000Z",
  "title": "Mean values of Dedekind sums",
  "authors": [
    "J. Brian Conrey",
    "Eric Fransen",
    "Robert Klein",
    "Clayton Scott"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For a positive integer k and an arbitrary integer h, the Dedekind sum s(h,k) was first studied by Dedekind because of the prominent role it plays in the transformation theory of the Dedekind eta-function, which is a modular form of weight 1/2 for the full modular group SL_2(Z). There is an extensive literature about the Dedekind sums. Rademacher [8] has written an introductory book on the subject.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1994-10-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dedekind sum",
      "mean values",
      "full modular group",
      "arbitrary integer",
      "dedekind eta-function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}