{
  "id": "1712.01029",
  "version": "v1",
  "published": "2017-12-04T12:05:35.000Z",
  "updated": "2017-12-04T12:05:35.000Z",
  "title": "Rooted Tree Maps",
  "authors": [
    "Tatsushi Tanaka"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Based on Hopf algebra of rooted trees introduced by Connes and Kreimer, we construct a class of linear maps on noncommutative polynomial algebra in two indeterminates, namely rooted tree maps. We also prove that their maps induce a class of relations among multiple zeta values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-04T12:05:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C05",
      "05C25",
      "11M32",
      "16T05"
    ],
    "keywords": [
      "rooted tree maps",
      "multiple zeta values",
      "hopf algebra",
      "noncommutative polynomial algebra",
      "maps induce"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}