{
  "id": "1207.2326",
  "version": "v4",
  "published": "2012-07-10T12:21:39.000Z",
  "updated": "2014-05-01T07:21:47.000Z",
  "title": "Linear independence of monomials of multizeta values in positive characteristic",
  "authors": [
    "Chieh-Yu Chang"
  ],
  "comment": "19 pages; v2: minor corrections on graded algebras are made; v3: minor revision; v4: the last section consists of the last two sections of v3; final version to appear in Compositio Mathematica",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we study transcendence theory for Thakur multizeta values in positive characteristic. We prove an analogue of the strong form of Goncharov's conjecture. We also establish the same result for Carlitz multiple polylogarithms at nontrivial algebraic points.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-05-01T07:21:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J91",
      "11J93"
    ],
    "keywords": [
      "positive characteristic",
      "linear independence",
      "study transcendence theory",
      "thakur multizeta values",
      "carlitz multiple polylogarithms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.2326C"
    }
  }
}