{
  "id": "1006.1654",
  "version": "v2",
  "published": "2010-06-08T20:02:38.000Z",
  "updated": "2013-05-08T17:34:37.000Z",
  "title": "Mahler measure and the WZ algorithm",
  "authors": [
    "Jesús Guillera",
    "Mathew Rogers"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We use the Wilf-Zeilberger method to prove identities between Mahler measures of polynomials. In particular, we offer a new proof of a formula due to Lal\\'{i}n, and we show how to translate the identity into a formula involving elliptic dilogarithms. This work settles a challenge problem proposed by Kontsevich and Zagier in their paper \"Periods\".",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-08T17:34:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "33F10",
      "19F27"
    ],
    "keywords": [
      "mahler measure",
      "wz algorithm",
      "challenge problem",
      "wilf-zeilberger method",
      "work settles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.1654G"
    }
  }
}