{
  "id": "1804.07721",
  "version": "v1",
  "published": "2018-04-20T16:57:38.000Z",
  "updated": "2018-04-20T16:57:38.000Z",
  "title": "New integral representations for Rankin-Selberg L-functions",
  "authors": [
    "Andrew R. Booker",
    "Muthu Krishnamurthy"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We derive integral representations for the Rankin-Selberg L-functions on GL(3)xGL(1) and GL(3)xGL(2) by a process of unipotent averaging at the Archimedean places. A ket feature of our result is that it allows one to fix the choice of test vector at finite places, even when the underlying representations have common ramification.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-20T16:57:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F66",
      "11F70"
    ],
    "keywords": [
      "rankin-selberg l-functions",
      "common ramification",
      "derive integral representations",
      "finite places",
      "test vector"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}