{
  "id": "0710.4920",
  "version": "v3",
  "published": "2007-10-25T17:30:58.000Z",
  "updated": "2008-05-28T12:44:11.000Z",
  "title": "On the quasi-derivation relation for multiple zeta values",
  "authors": [
    "Tatsushi Tanaka"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Recently, Masanobu Kaneko introduced a conjecture on an extension of the derivation relation for multiple zeta values. The goal of the present paper is to present a proof of this conjecture by reducing it to a class of relations for multiple zeta values studied by Kawashima. In addition, some algebraic aspects of the quasi-derivation operator $\\partial_n^{(c)}$ on $\\mathbb{Q}< x,y>$, which was defined by modeling a Hopf algebra developed by Connes and Moscovici, will be presented.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-05-28T12:44:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41"
    ],
    "keywords": [
      "multiple zeta values",
      "quasi-derivation relation",
      "conjecture",
      "masanobu kaneko",
      "algebraic aspects"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.4920T"
    }
  }
}