{
  "id": "1003.5973",
  "version": "v1",
  "published": "2010-03-31T05:39:21.000Z",
  "updated": "2010-03-31T05:39:21.000Z",
  "title": "The Bowman-Bradley theorem for multiple zeta-star values",
  "authors": [
    "Hiroki Kondo",
    "Shingo Saito",
    "Tatsushi Tanaka"
  ],
  "comment": "17 pages",
  "journal": "J. Number Theory 132 (2012), no. 9, 1984-2002",
  "doi": "10.1016/j.jnt.2012.03.012",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "The Bowman-Bradley theorem asserts that the multiple zeta values at the sequences obtained by inserting a fixed number of twos between 3,1,...,3,1 add up to a rational multiple of a power of pi. We establish its counterpart for multiple zeta-star values by showing an identity in a non-commutative polynomial algebra introduced by Hoffman.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-31T05:39:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "05A19"
    ],
    "keywords": [
      "multiple zeta-star values",
      "bowman-bradley theorem asserts",
      "multiple zeta values",
      "rational multiple",
      "non-commutative polynomial algebra"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.5973K"
    }
  }
}