{
  "id": "2008.03505",
  "version": "v1",
  "published": "2020-08-08T12:15:01.000Z",
  "updated": "2020-08-08T12:15:01.000Z",
  "title": "Class number one problem for the real quadratic fields $\\mathbb{Q}({\\sqrt{m^2+2r}})$",
  "authors": [
    "Azizul Hoque",
    "Srinivas Kotyada"
  ],
  "comment": "4 pages. To appear in Archiv der Mathematik",
  "categories": [
    "math.NT"
  ],
  "abstract": "We investigate the class number one problem for a parametric family of real quadratic fields of the form $\\mathbb{Q}( \\sqrt{m^2+4r})$ for certain positive integers $m$ and $r$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-08T12:15:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R29",
      "11R11"
    ],
    "keywords": [
      "real quadratic fields",
      "class number",
      "parametric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}