{
  "id": "1405.6513",
  "version": "v2",
  "published": "2014-05-26T09:27:21.000Z",
  "updated": "2015-06-28T15:21:51.000Z",
  "title": "Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions",
  "authors": [
    "Günter Harder",
    "A. Raghuram"
  ],
  "comment": "82 pages, including Appendix 1 by Uwe Weselmann and Appendix 2 by Chandrasheel Bhagwat and A. Raghuram. Many local edits and improvements in the 2nd version",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "The aim of this article is to study rank-one Eisenstein cohomology for the group GL(N)/F, where F is a totally real field extension of Q. This is then used to prove rationality results for ratios of successive critical values for Rankin-Selberg L-functions for GL(n) x GL(n') over F with the parity condition that nn' is even. The key idea is to interpret Langlands's constant term theorem in terms of Eisenstein cohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-26T09:27:21.000Z",
      "title": "Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions - I",
      "comment": "84 pages, including Appendix 1 by Uwe Weselmann and Appendix 2 by Chandrasheel Bhagwat and A. Raghuram",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-06-28T15:21:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F75",
      "11F66",
      "11F67",
      "11F70",
      "22E55"
    ],
    "keywords": [
      "rankin-selberg l-functions",
      "critical values",
      "interpret langlandss constant term theorem",
      "study rank-one eisenstein cohomology",
      "totally real field extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 82,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.6513H"
    }
  }
}