{
  "id": "1806.10888",
  "version": "v1",
  "published": "2018-06-28T11:29:24.000Z",
  "updated": "2018-06-28T11:29:24.000Z",
  "title": "A cyclic analogue of multiple zeta values",
  "authors": [
    "Minoru Hirose",
    "Hideki Murahara",
    "Takuya Murakami"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider a cyclic analogue of multiple zeta values (CMZVs), which has two kinds of expressions; series and integral expression. We prove an `integral$=$series' type identity for CMZVs. By using this identity, we construct two classes of $\\mathbb{Q}$-linear relations among CMZVs. One of them is a generalization of the cyclic sum formula for multiple zeta-star values. We also give an alternative proof of the derivation relation for multiple zeta values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-28T11:29:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32"
    ],
    "keywords": [
      "multiple zeta values",
      "cyclic analogue",
      "multiple zeta-star values",
      "cyclic sum formula",
      "integral expression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}