{
  "id": "math/0603438",
  "version": "v1",
  "published": "2006-03-17T20:06:50.000Z",
  "updated": "2006-03-17T20:06:50.000Z",
  "title": "One half log discriminant",
  "authors": [
    "Lucien Szpiro",
    "Thomas J. Tucker"
  ],
  "comment": "12 pages, 6 figures",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We give a geometric proof that one may compute a particular generalized Mahler integral using equidistribution of preperiodic points of a dynamical system on the sphere. The dynamical system is associated to the multiplication by 2 map on an elliptic curve over a number field K with Weierstrass equation y^2 = P(x) (a Lattes dynamical system).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-03-17T20:06:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14G40",
      "11G50",
      "11G05"
    ],
    "keywords": [
      "half log discriminant",
      "number field",
      "elliptic curve",
      "generalized mahler integral",
      "lattes dynamical system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3438S"
    }
  }
}