{
  "id": "0810.2830",
  "version": "v1",
  "published": "2008-10-16T02:09:40.000Z",
  "updated": "2008-10-16T02:09:40.000Z",
  "title": "Classes of permutation polynomials based on cyclotomy and an additive analogue",
  "authors": [
    "Michael E. Zieve"
  ],
  "comment": "8 pages. Dedicated to Mel Nathanson on the occasion of his sixtieth birthday",
  "journal": "in book: Additive Number Theory (Springer 2010) 355-359",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "I present a construction of permutation polynomials based on cyclotomy, an additive analogue of this construction, and a generalization of this additive analogue which appears to have no multiplicative analogue. These constructions generalize recent results of J. Marcos from arXiv:0810.2738v1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-16T02:09:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11T06",
      "11T22"
    ],
    "keywords": [
      "additive analogue",
      "permutation polynomials",
      "construction"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.2830Z"
    }
  }
}