{
  "id": "1708.02466",
  "version": "v1",
  "published": "2017-08-08T12:43:16.000Z",
  "updated": "2017-08-08T12:43:16.000Z",
  "title": "The Mahler measure for arbitrary tori",
  "authors": [
    "Matilde Lalin",
    "Tushant Mittal"
  ],
  "comment": "26 pages, 1 figure",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider a variation of the Mahler measure where the defining integral is performed over a more general torus. We focus our investigation on two particular polynomials related to certain elliptic curve $E$ and we establish new formulas for this variation of the Mahler measure in terms of $L'(E,0)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-08T12:43:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R06",
      "11G05",
      "11F66",
      "19F27",
      "33E05"
    ],
    "keywords": [
      "mahler measure",
      "arbitrary tori",
      "elliptic curve",
      "general torus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}