{
  "id": "1710.03662",
  "version": "v1",
  "published": "2017-10-10T15:32:59.000Z",
  "updated": "2017-10-10T15:32:59.000Z",
  "title": "Divisibility of the class numbers of imaginary quadratic fields",
  "authors": [
    "Kalyan Chakraborty",
    "Azizul Hoque",
    "Yasuhiro Kishi",
    "Prem Prakash Pandey"
  ],
  "comment": "10 pages, accepted for publication in Journal of Number Theory (2017)",
  "categories": [
    "math.NT"
  ],
  "abstract": "For a given odd integer $n>1$, we provide some families of imaginary quadratic number fields of the form $\\mathbb{Q}(\\sqrt{x^2-t^n})$ whose ideal class group has a subgroup isomorphic to $\\mathbb{Z}/n\\mathbb{Z}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-10T15:32:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R11",
      "11R29"
    ],
    "keywords": [
      "imaginary quadratic fields",
      "class numbers",
      "imaginary quadratic number fields",
      "divisibility",
      "ideal class group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}