{
  "id": "1404.2127",
  "version": "v1",
  "published": "2014-04-08T13:44:48.000Z",
  "updated": "2014-04-08T13:44:48.000Z",
  "title": "Necessary conditions for reversed Dickson polynomials of the second kind to be permutational",
  "authors": [
    "Shaofang Hong",
    "Xiaoer Qin"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we present several necessary conditions for the reversed Dickson polynomial $E_{n}(1, x)$ of the second kind to be a permutation of $\\mathbb{F}_{q}$. In particular, we give explicit evaluation of the sum $\\sum_{a\\in \\mathbb{F}_{q}}E_{n}(1,a)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-08T13:44:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reversed dickson polynomial",
      "second kind",
      "necessary conditions",
      "permutational"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.2127H"
    }
  }
}