{
  "id": "1102.1555",
  "version": "v2",
  "published": "2011-02-08T10:07:00.000Z",
  "updated": "2012-10-03T18:06:37.000Z",
  "title": "Cyclotomic matrices over the Eisenstein and Gaussian integers",
  "authors": [
    "Gary Greaves"
  ],
  "comment": "24 pages",
  "journal": "Journal of Algebra 372 (2012), pp. 560-583",
  "doi": "10.1016/j.jalgebra.2012.09.006",
  "categories": [
    "math.NT"
  ],
  "abstract": "We classify all cyclotomic matrices over the Eisenstein and Gaussian integers, that is, all Hermitian matrices over the Eisenstein and Gaussian integers that have all their eigenvalues in the interval [-2, 2].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-03T18:06:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C22",
      "05C50",
      "11C20",
      "15B33"
    ],
    "keywords": [
      "gaussian integers",
      "cyclotomic matrices",
      "eisenstein"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.1555G"
    }
  }
}