{
  "id": "1206.1734",
  "version": "v1",
  "published": "2012-06-08T11:37:42.000Z",
  "updated": "2012-06-08T11:37:42.000Z",
  "title": "Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers",
  "authors": [
    "Gary Greaves",
    "Graeme Taylor"
  ],
  "journal": "The Electronic Journal of Combinatorics 20 (2013), no. 1, #P42",
  "categories": [
    "math.NT"
  ],
  "abstract": "We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least Lehmer's number \\tau_0 = 1.17628... .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-08T11:37:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15B33",
      "11C99"
    ],
    "keywords": [
      "gaussian integers",
      "hermitian matrices",
      "lehmers conjecture",
      "eisenstein"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.1734G"
    }
  }
}