{
  "id": "0912.1427",
  "version": "v1",
  "published": "2009-12-08T07:38:47.000Z",
  "updated": "2009-12-08T07:38:47.000Z",
  "title": "On the distribution of class groups of number fields",
  "authors": [
    "Gunter Malle"
  ],
  "comment": "14 pages. To appear in Experimental Math",
  "journal": "Experiment. Math. 19 (2010), 465--474",
  "categories": [
    "math.NT"
  ],
  "abstract": "We propose a modification of the predictions of the Cohen--Lenstra heuristic for class groups of number fields in the case where roots of unity are present in the base field. As evidence for this modified formula we provide a large set of computational data which show close agreement.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-12-08T07:38:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R29",
      "11R16",
      "52.38.Mf",
      "42.55.Xi",
      "82.20.Rp",
      "42.55.Mv"
    ],
    "keywords": [
      "number fields",
      "class groups",
      "distribution",
      "base field",
      "cohen-lenstra heuristic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010AIPC.1278..465M"
    }
  }
}