{
  "id": "1007.2309",
  "version": "v3",
  "published": "2010-07-14T12:20:02.000Z",
  "updated": "2011-02-01T13:57:14.000Z",
  "title": "Ring class invariants over imaginary quadratic fields",
  "authors": [
    "Ick Sun Eum",
    "Ja Kyung Koo",
    "Dong Hwa Shin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show by adopting Schertz's argument with the Siegel-Ramachandra invariant that singular values of certain quotients of the $\\Delta$-function generate ring class fields over imaginary quadratic fields.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-02-01T13:57:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G16",
      "11F03",
      "11G15",
      "11R37"
    ],
    "keywords": [
      "imaginary quadratic fields",
      "ring class invariants",
      "function generate ring class fields",
      "siegel-ramachandra invariant",
      "singular values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.2309E"
    }
  }
}