{
  "id": "1712.08552",
  "version": "v1",
  "published": "2017-12-22T16:30:03.000Z",
  "updated": "2017-12-22T16:30:03.000Z",
  "title": "The number of quartic $D_4$-fields with monogenic cubic resolvent ordered by conductor",
  "authors": [
    "Cindy Tsang",
    "Stanley Yao Xiao"
  ],
  "comment": "33 pages; comments welcome!",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we give asymptotic formulas for the number of $D_4$-fields whose ring of integers has a monogenic cubic resolvent ring, ordered by conductor and separated by the number of real embeddings they admit.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-22T16:30:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic formulas",
      "monogenic cubic resolvent ring",
      "real embeddings"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}