{
  "id": "1703.01834",
  "version": "v1",
  "published": "2017-03-06T12:23:16.000Z",
  "updated": "2017-03-06T12:23:16.000Z",
  "title": "A converse theorem without root numbers",
  "authors": [
    "Andrew R. Booker"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We answer a challenge posed in (Math. Ann. 363 (2015), no. 1-2, 423-454) by proving a version of Weil's converse theorem that assumes a functional equation for character twists but allows their root numbers to vary arbitrarily.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-06T12:23:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "root numbers",
      "weils converse theorem",
      "functional equation",
      "character twists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}