{
  "id": "math/0701397",
  "version": "v2",
  "published": "2007-01-14T22:48:30.000Z",
  "updated": "2008-01-28T17:45:48.000Z",
  "title": "The Mahler measure of algebraic numbers: a survey",
  "authors": [
    "Chris Smyth"
  ],
  "journal": "Conference proceedings, University of Bristol, 3-7 April 2006, LMS Lecture Note Series 352, Cambridge University Press, Cambridge, 2008, pp. 322--349.",
  "categories": [
    "math.NT"
  ],
  "abstract": "A survey of results for Mahler measure of algebraic numbers, and one-variable polynomials with integer coefficients is presented. Related results on the maximum modulus of the conjugates (`house') of an algebraic integer are also discussed. Some generalisations are given too, though not to Mahler measure of polynomials in more than one variable.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-28T17:45:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R06"
    ],
    "keywords": [
      "mahler measure",
      "algebraic numbers",
      "algebraic integer",
      "integer coefficients",
      "maximum modulus"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1397S"
    }
  }
}