{
  "id": "0805.1554",
  "version": "v1",
  "published": "2008-05-11T18:23:14.000Z",
  "updated": "2008-05-11T18:23:14.000Z",
  "title": "A finiteness property for preperiodic points of Chebyshev polynomials",
  "authors": [
    "Su-Ion Ih",
    "Thomas J. Tucker"
  ],
  "comment": "12 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let K be a number field with algebraic closure K-bar, let S be a finite set of places of K containing the archimedean places, and let f be a Chebyshev polynomial. We prove that if a in K-bar is not preperiodic, then there are only finitely many preperiodic points b in K-bar which are S-integral with respect to a.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-05-11T18:23:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05",
      "11G35",
      "14G05"
    ],
    "keywords": [
      "preperiodic points",
      "chebyshev polynomial",
      "finiteness property",
      "algebraic closure k-bar",
      "finite set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.1554I"
    }
  }
}