{
  "id": "1704.06387",
  "version": "v1",
  "published": "2017-04-21T03:49:41.000Z",
  "updated": "2017-04-21T03:49:41.000Z",
  "title": "Duality/Sum formulas for iterated integrals and their application to multiple zeta values",
  "authors": [
    "Minoru Hirose",
    "Kohei Iwaki",
    "Nobuo Sato",
    "Koji Tasaka"
  ],
  "comment": "11 pages",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "We investigate linear relations among a class of iterated integrals on the Riemann sphere minus four points $0,1,z$ and $\\infty$. Generalization of the duality formula and the sum formula for multiple zeta values to the iterated integrals are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-21T03:49:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32"
    ],
    "keywords": [
      "multiple zeta values",
      "iterated integrals",
      "duality/sum formulas",
      "application",
      "riemann sphere minus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}