{
  "id": "1607.04991",
  "version": "v1",
  "published": "2016-07-18T09:48:59.000Z",
  "updated": "2016-07-18T09:48:59.000Z",
  "title": "Special Values of L-functions for Orthogonal Groups",
  "authors": [
    "Chandrasheel Bhagwat",
    "A. Raghuram"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) $\\times$ SO(n, n) over $\\mathbb Q$ for an even positive integer n. The proof follows from studying the rank-one Eisenstein cohomology for SO(n + 1, n + 1).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-18T09:48:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F66",
      "11F70",
      "11F75",
      "22E55"
    ],
    "keywords": [
      "orthogonal groups",
      "special values",
      "rank-one eisenstein cohomology",
      "degree-2n l-functions",
      "rationality results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}