{
  "id": "math/9905157",
  "version": "v3",
  "published": "1999-05-25T20:56:48.000Z",
  "updated": "2003-01-28T21:51:26.000Z",
  "title": "On binary quadratic forms and the Hecke groups",
  "authors": [
    "Wendell Culp-Ressler"
  ],
  "comment": "17 pages. See also http://www.fandm.edu/people/w_ressler Changes from v. 2: I dispensed with the incorrect Lemma 5 and replaced the incorrect Lemma 8 with a true Theorem 1, which characterizes reduced numbers for the Hecke groups",
  "categories": [
    "math.NT"
  ],
  "abstract": "We present a theory of reduction of binary quadratic forms with coefficients in Z[lambda], where lambda is the minimal translation in a Hecke group. We generalize from the modular group Gamma(1) = SL(2,Z) to the Hecke groups and make extensive use of modified negative continued fractions.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-01-28T21:51:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11H55",
      "11F06",
      "11J70"
    ],
    "keywords": [
      "binary quadratic forms",
      "hecke group",
      "modular group gamma",
      "minimal translation",
      "coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......5157C"
    }
  }
}