{
  "id": "1604.04253",
  "version": "v1",
  "published": "2016-04-14T18:35:01.000Z",
  "updated": "2016-04-14T18:35:01.000Z",
  "title": "On Period Relations for Automorphic L-functions II",
  "authors": [
    "Fabian Januszewski"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We study Hecke algebras for pairs (g,K) over arbitrary fields E of characteristic 0, define the Bernstein functor and give another definition of the Zuckerman functor over E. Building on this we show that hard duality remains valid over E and apply this result to the study of rationality properties of Sun's cohomologically induced functionals. Our main application are period relations for the special values of standard L-functions of automorphic representations of GL(2n) admitting Shalika models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-14T18:35:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F70",
      "22E50"
    ],
    "keywords": [
      "period relations",
      "automorphic l-functions",
      "hard duality remains valid",
      "study hecke algebras",
      "bernstein functor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160404253J"
    }
  }
}