{
  "id": "1902.05250",
  "version": "v1",
  "published": "2019-02-14T07:37:17.000Z",
  "updated": "2019-02-14T07:37:17.000Z",
  "title": "A Classification of order $4$ class groups of $\\mathbb{Q}{(\\sqrt{n^2+1})}$",
  "authors": [
    "Kalyan Chakraborty",
    "Azizul Hoque",
    "Mohit Mishra"
  ],
  "comment": "11 Pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We classify all order 4 class groups of the family of real quadratic fields $\\mathbb{Q}{(\\sqrt{n^2+1})}$. The main tools used are special values of Dedekind zeta functions attached to these fields and generalized Dedekind sum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-14T07:37:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R29",
      "11R42",
      "11R11"
    ],
    "keywords": [
      "class groups",
      "classification",
      "real quadratic fields",
      "dedekind zeta functions",
      "special values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}