{
  "id": "1203.1115",
  "version": "v1",
  "published": "2012-03-06T07:23:39.000Z",
  "updated": "2012-03-06T07:23:39.000Z",
  "title": "On some multiple zeta-star values of one-two-three indices",
  "authors": [
    "Koji Tasaka",
    "Shuji Yamamoto"
  ],
  "comment": "12 pages",
  "journal": "Int. J. Number Theory Vol. 09, No. 05 (2013), pp. 1171-1184",
  "doi": "10.1142/S1793042113500188",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we present some identities for multiple zeta-star values with indices obtained by inserting 3 or 1 into the string 2,...,2. Our identities give analogues of Zagier's evaluation of \\zeta(2,...,2,3,2,..., 2) and examples of a kind of duality of multiple zeta-star values. Moreover, their generalizations give partial solutions of conjectures proposed by Imatomi, Tanaka, Wakabayashi and the first author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-06T07:23:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "05A15",
      "40B05"
    ],
    "keywords": [
      "multiple zeta-star values",
      "one-two-three indices",
      "identities",
      "zagiers evaluation",
      "partial solutions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1115T"
    }
  }
}