{
  "id": "math/0310062",
  "version": "v1",
  "published": "2003-10-05T22:35:36.000Z",
  "updated": "2003-10-05T22:35:36.000Z",
  "title": "Multiple Polylogarithms: A Brief Survey",
  "authors": [
    "Douglas Bowman",
    "David M. Bradley"
  ],
  "comment": "22 pages, in \"Proceedings of a Conference on q-Series with Applications to Combinatorics, Number Theory and Physics,\" (Bruce C. Berndt and Ken Ono eds.) American Mathematical Society, Contemporary Mathematics, Vol. 291, 2001, pp. 71-92. [MR #2003c:33021]",
  "journal": "pp. 71--92 in \"q-series with applications to combinatorics, number theory, and physics\" (Urbana, Illinois, 2000), Contemporary Mathematics Vol. 291, American Mathematical Society, Providence, Rhode Island, 2001. MR1874522 (2003c:33021)",
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "We survey various results and conjectures concerning multiple polylogarithms and the multiple zeta function. Among the results, we announce our resolution of several conjectures on multiple zeta values. We also provide a new integral representation for the general multiple polylogarithm, and develop a q-analogue of the shuffle product.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-05T22:35:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33E20",
      "11G55",
      "11M99",
      "40B05"
    ],
    "keywords": [
      "brief survey",
      "multiple zeta function",
      "multiple zeta values",
      "general multiple polylogarithm",
      "conjectures concerning multiple polylogarithms"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....10062B"
    }
  }
}