{
  "id": "1409.0509",
  "version": "v1",
  "published": "2014-09-01T19:06:12.000Z",
  "updated": "2014-09-01T19:06:12.000Z",
  "title": "Lagrange's Theorem for continued fractions on the Heisenberg group",
  "authors": [
    "Joseph Vandehey"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove an analog of Lagrange's Theorem for continued fractions on the Heisenberg group: points with an eventually periodic continued fraction expansion are those that satisfy a particular type of quadratic form, and vice-versa.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-01T19:06:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A55"
    ],
    "keywords": [
      "heisenberg group",
      "lagranges theorem",
      "eventually periodic continued fraction expansion",
      "quadratic form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.0509V"
    }
  }
}