{
  "id": "1801.03165",
  "version": "v1",
  "published": "2018-01-09T22:39:53.000Z",
  "updated": "2018-01-09T22:39:53.000Z",
  "title": "Algebraic differential formulas for the shuffle, stuffle and duality relations of iterated integrals",
  "authors": [
    "Minoru Hirose",
    "Nobuo Sato"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In this paper we prove certain algebraic identities, which correspond to differentiations of the shuffle relation, the stuffle relation, and the relations which arise from M\\\"{o}bius transformations of iterated integrals. These formulas provide fundamental and useful tools in the study of iterated integrals on a punctured projective line.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-09T22:39:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E40",
      "11M32",
      "13N15"
    ],
    "keywords": [
      "algebraic differential formulas",
      "iterated integrals",
      "duality relations",
      "algebraic identities",
      "shuffle relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}