{
  "id": "1305.0867",
  "version": "v1",
  "published": "2013-05-04T02:01:08.000Z",
  "updated": "2013-05-04T02:01:08.000Z",
  "title": "Algebraic independence of multipliers of periodic orbits in the space of polynomial maps of one variable",
  "authors": [
    "Igors Gorbovickis"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider a space of complex polynomials of degree $n\\ge 3$ with $n-1$ distinguished periodic orbits. We prove that the multipliers of these periodic orbits considered as algebraic functions on that space, are algebraically independent over the field of complex numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-04T02:01:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37F10"
    ],
    "keywords": [
      "algebraic independence",
      "polynomial maps",
      "multipliers",
      "complex polynomials",
      "complex numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.0867G"
    }
  }
}