{
  "id": "1404.3282",
  "version": "v3",
  "published": "2014-04-12T11:56:53.000Z",
  "updated": "2016-05-30T11:24:07.000Z",
  "title": "Ring class fields by smaller generators",
  "authors": [
    "Ja Kyung Koo",
    "Dong Hwa Shin",
    "Dong Sung Yoon"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We generate ring class fields of imaginary quadratic fields in terms of the special values of certain eta-quotients, which are related to the relative norms of Siegel-Ramachandra invariants. These give us minimal polynomials with relatively small coefficients from which we are able to solve certain quadratic Diophantine equations concerning non-convenient numbers.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-04-15T05:18:49.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2016-05-30T11:24:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G16",
      "11F03",
      "11G15",
      "11R37"
    ],
    "keywords": [
      "smaller generators",
      "diophantine equations concerning non-convenient numbers",
      "quadratic diophantine equations concerning non-convenient",
      "imaginary quadratic fields",
      "generate ring class fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.3282K"
    }
  }
}