{
  "id": "0912.1951",
  "version": "v2",
  "published": "2009-12-10T09:45:38.000Z",
  "updated": "2010-04-21T03:18:49.000Z",
  "title": "On some combinations of multiple zeta-star values",
  "authors": [
    "Kohtaro Imatomi",
    "Tatsushi Tanaka",
    "Koji Tasaka",
    "Noriko Wakabayashi"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that the sum of multiple zeta-star values over all indices inserted two 2's into the string $(\\underbrace{3,1, ..., 3,1}_{2n})$ is evaluated to a rational multiple of powers of $\\pi^2$. We also establish certain conjectures on evaluations of multiple zeta-star values observed by numerical experiments.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-04-21T03:18:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32"
    ],
    "keywords": [
      "multiple zeta-star values",
      "combinations",
      "rational multiple",
      "conjectures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0912.1951I"
    }
  }
}