{
  "id": "1712.07338",
  "version": "v1",
  "published": "2017-12-20T06:52:10.000Z",
  "updated": "2017-12-20T06:52:10.000Z",
  "title": "Divisibility of class numbers of certain families of quadratic fields",
  "authors": [
    "Azizul Hoque",
    "Kalyan Chakraborty"
  ],
  "comment": "13 Pages, accepted for publication in Journal of the Ramanujan Mathematical Society, 2017",
  "categories": [
    "math.NT"
  ],
  "abstract": "We construct some families of quadratic fields whose class numbers are divisible by $3.$ The main tools used are a trinomial introduced by Kishi and a parametrization of Kishi and Miyake of a family of quadratic fields whose class numbers are divisible by $3.$ At the end we compute class number of these fields for some small values and verify our results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-20T06:52:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R29",
      "11R11"
    ],
    "keywords": [
      "class number",
      "quadratic fields",
      "divisibility",
      "small values",
      "main tools"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}