{
  "id": "0705.2182",
  "version": "v1",
  "published": "2007-05-15T16:08:33.000Z",
  "updated": "2007-05-15T16:08:33.000Z",
  "title": "Rational functions with linear relations",
  "authors": [
    "Ariane M. Masuda",
    "Michael E. Zieve"
  ],
  "comment": "8 pages",
  "journal": "Proc. Amer. Math. Soc. 136 (2008), 1403--1408",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "We find all polynomials f,g,h over a field K such that g and h are linear and f(g(x))=h(f(x)). We also solve the same problem for rational functions f,g,h, in case the field K is algebraically closed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-15T16:08:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B12",
      "12E05"
    ],
    "keywords": [
      "rational functions",
      "linear relations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.2182M"
    }
  }
}