{
  "id": "1108.1763",
  "version": "v5",
  "published": "2011-08-08T17:51:29.000Z",
  "updated": "2012-05-13T19:04:36.000Z",
  "title": "Graphs associated with the map $x \\mapsto x + x^{-1}$ in finite fields of characteristic three",
  "authors": [
    "Simone Ugolini"
  ],
  "comment": "The definitions of the maps $s$ and $\\psi$ have been slightly modified in order to simplify the following discussion. 6 pages",
  "journal": "Journal of Number Theory, 133 (4) (2013), 1207-1228",
  "doi": "10.1016/j.jnt.2012.09.007",
  "categories": [
    "math.NT",
    "math.DS"
  ],
  "abstract": "In this paper we study the structure of the graphs associated with the iterations of the map $x \\mapsto x+x^{-1}$ over finite fields of characteristic three.",
  "revisions": [
    {
      "version": "v5",
      "updated": "2012-05-13T19:04:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37P05"
    ],
    "keywords": [
      "finite fields",
      "characteristic"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.1763U"
    }
  }
}