{
  "id": "1408.1374",
  "version": "v2",
  "published": "2014-08-06T18:46:54.000Z",
  "updated": "2015-04-16T03:14:16.000Z",
  "title": "Distribution of orders in number fields",
  "authors": [
    "Nathan Kaplan",
    "Jake Marcinek",
    "Ramin Takloo-Bighash"
  ],
  "comment": "82 pages. Revised to reflect referee comments. To appear in Research in the Mathematical Sciences. arXiv admin note: text overlap with arXiv:1008.2053",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this paper we study the distribution of orders of bounded discriminants in number fields. We give an asymptotic formula for the number of orders contained in the ring of integers of a quintic number field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-08-06T18:46:54.000Z",
      "comment": "81 pages. arXiv admin note: text overlap with arXiv:1008.2053",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-04-16T03:14:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "distribution",
      "quintic number field",
      "asymptotic formula",
      "bounded discriminants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 82,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}