{
  "id": "math/0612807",
  "version": "v1",
  "published": "2006-12-28T03:15:31.000Z",
  "updated": "2006-12-28T03:15:31.000Z",
  "title": "The Selberg Trace Formula and Selberg Zeta-Function for Cofinite Kleinian Groups with Finite Dimensional Unitary Representations: Stony Brook University PhD Thesis",
  "authors": [
    "Joshua S. Friedman"
  ],
  "comment": "Stony Brook University PhD Thesis from May of 2005",
  "categories": [
    "math.NT",
    "math.SP"
  ],
  "abstract": "For cofinite Kleinian groups, with finite-dimensional unitary representations, we derive the Selberg trace formula. As an application we define the corresponding Selberg zeta-function and compute its divisor, thus generalizing results of Elstrodt, Grunewald and Mennicke to non-trivial unitary representations. We show that the presence of cuspidal elliptic elements sometimes adds ramification point to the zeta function. In fact, if D is the ring of Eisenstein integers, then the Selberg zeta-function of PSL(2,D) contains ramification points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-12-28T03:15:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F72",
      "11M36"
    ],
    "keywords": [
      "stony brook university phd thesis",
      "finite dimensional unitary representations",
      "selberg trace formula",
      "cofinite kleinian groups",
      "selberg zeta-function"
    ],
    "tags": [
      "dissertation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}