{
  "id": "math/0605288",
  "version": "v2",
  "published": "2006-05-11T02:32:21.000Z",
  "updated": "2007-03-22T19:28:41.000Z",
  "title": "Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations",
  "authors": [
    "Joshua S. Friedman"
  ],
  "comment": "To appear in Communications in Mathematical Physics. This is a corrected version",
  "doi": "10.1007/s00220-007-0330-3",
  "categories": [
    "math.NT",
    "math.SP"
  ],
  "abstract": "For cofinite Kleinian groups (or equivalently, finite-volume three-dimensional hyperbolic orbifolds) with finite-dimensional unitary representations, we evaluate the regularized determinant of the Laplacian using W. Muller's regularization. We give an explicit formula relating the determinant to the Selberg zeta-function.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-22T19:28:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M36",
      "11F72"
    ],
    "keywords": [
      "finite-dimensional unitary representations",
      "cofinite kleinian groups",
      "regularized determinant",
      "finite-volume three-dimensional hyperbolic orbifolds",
      "mullers regularization"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2007,
      "month": "Nov",
      "volume": 275,
      "number": 3,
      "pages": 659
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007CMaPh.275..659F"
    }
  }
}