{
  "id": "2011.00142",
  "version": "v1",
  "published": "2020-10-30T23:29:22.000Z",
  "updated": "2020-10-30T23:29:22.000Z",
  "title": "Analytic continuation of multiple polylogarithms in positive characteristic",
  "authors": [
    "Hidekazu Furusho"
  ],
  "comment": "20 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce a method of analytic continuation of Carlitz multiple (star) polylogarithms to the whole space and present a treatment of their branches. As applications of this method, we obtain (1) a method of continuation of the logarithms of higher tensor powers of Carlitz module, (2) the orthogonal property (Chang-Mishiba functional relations), (3) a branch independency of the Eulerian property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-30T23:29:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R58",
      "33E50"
    ],
    "keywords": [
      "analytic continuation",
      "multiple polylogarithms",
      "positive characteristic",
      "chang-mishiba functional relations",
      "higher tensor powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}