{
  "id": "0710.0432",
  "version": "v1",
  "published": "2007-10-02T03:05:22.000Z",
  "updated": "2007-10-02T03:05:22.000Z",
  "title": "Differential Birkhoff decomposition and the renormalization of multiple zeta values",
  "authors": [
    "Li Guo",
    "Bin Zhang"
  ],
  "comment": "20 pages",
  "journal": "J. Number Theory vol 128 (2008), 2318-2339",
  "categories": [
    "math.NT",
    "math.CO",
    "math.RA"
  ],
  "abstract": "In the Hopf algebra approach of Connes and Kreimer on renormalization of quantum field theory, the renormalization process is views as a special case of the Algebraic Birkhoff Decomposition. We give a differential algebra variation of this decomposition and apply this to the study of multiple zeta values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-02T03:05:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "12H05",
      "16W30",
      "81T15"
    ],
    "keywords": [
      "multiple zeta values",
      "differential birkhoff decomposition",
      "hopf algebra approach",
      "algebraic birkhoff decomposition",
      "quantum field theory"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.0432G"
    }
  }
}