{
  "id": "1412.3500",
  "version": "v1",
  "published": "2014-12-11T00:02:57.000Z",
  "updated": "2014-12-11T00:02:57.000Z",
  "title": "Gamma factors of pairs and a local converse theorem in families",
  "authors": [
    "Gilbert Moss"
  ],
  "comment": "22 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a GL(n)xGL(n-1) local converse theorem for l-adic families of smooth representations of GL(n,F) where F is a finite extension of Q_p and l is different from p. To do so, we also extend the theory of Rankin-Selberg integrals, first introduced by Jacquet, Piatetski-Shapiro, and Shalika, to the setting of families, continuing previous work of the author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-11T00:02:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S37",
      "11S40",
      "11F33",
      "22E50"
    ],
    "keywords": [
      "local converse theorem",
      "gamma factors",
      "rankin-selberg integrals",
      "finite extension",
      "l-adic families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.3500M"
    }
  }
}