{
  "id": "1108.4726",
  "version": "v1",
  "published": "2011-08-24T00:23:51.000Z",
  "updated": "2011-08-24T00:23:51.000Z",
  "title": "Special relations between multizeta values and parity results",
  "authors": [
    "José Alejandro Lara Rodríguez"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study relations between multizeta values for function fields introduced by D. Thakur. The F_p-span of Thakur's multizeta values is an algebra (Thakur. Shuffle relations for function field multizeta values). In particular, the product \\zeta(a)\\zeta(b) is a linear combination of multizeta values. In this paper, several of the conjectures formulated by the author and by D. Thakur for small values or for special families of a about how to write \\zeta(a)\\zeta(b) as an F_p-linear combination of multizeta values, are proved. Also, the parity conjecture formulated by Thakur is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-24T00:23:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M38",
      "11M32",
      "11R58"
    ],
    "keywords": [
      "parity results",
      "special relations",
      "function field multizeta values",
      "thakurs multizeta values",
      "linear combination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.4726R"
    }
  }
}