{
  "id": "1203.1111",
  "version": "v1",
  "published": "2012-03-06T07:06:23.000Z",
  "updated": "2012-03-06T07:06:23.000Z",
  "title": "Explicit evaluation of certain sums of multiple zeta-star values",
  "authors": [
    "Shuji Yamamoto"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Bowman and Bradley proved an explicit formula for the sum of multiple zeta values whose indices are the sequence (3,1,3,1,...,3,1) with a number of 2's inserted. Kondo, Saito and Tanaka considered the similar sum of multiple zeta-star values and showed that this value is a rational multiple of a power of \\pi. In this paper, we give an explicit formula for the rational part. In addition, we interpret the result as an identity in the harmonic algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-06T07:06:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "05A15"
    ],
    "keywords": [
      "multiple zeta-star values",
      "explicit evaluation",
      "explicit formula",
      "multiple zeta values",
      "similar sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1111Y"
    }
  }
}