{
  "id": "1707.00412",
  "version": "v1",
  "published": "2017-07-03T06:16:13.000Z",
  "updated": "2017-07-03T06:16:13.000Z",
  "title": "The Hasse Norm Principle For Biquadratic Extensions",
  "authors": [
    "Nick Rome"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give an asymptotic formula for the number of biquadratic extensions of the rationals of bounded discriminant that fail the Hasse norm principle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-03T06:16:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hasse norm principle",
      "biquadratic extensions",
      "asymptotic formula",
      "bounded discriminant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}