{
  "id": "1507.07177",
  "version": "v1",
  "published": "2015-07-26T07:41:49.000Z",
  "updated": "2015-07-26T07:41:49.000Z",
  "title": "Twists and resonance of L-functions, II",
  "authors": [
    "J. Kaczorowski",
    "A. Perelli"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We continue our investigations of the analytic properties of nonlinear twists of L-functions developed in [4],[5] and [7]. Given an L-function of degree d, we first extend the transformation formula in [5], relating a twist with leading exponent > 1/d to its dual twist. Then we combine the results in [7] with such a transformation formula to obtain the analytic properties of new classes of nonlinear twists. This allows to detect several new cases of resonance of the classical L-functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-26T07:41:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41"
    ],
    "keywords": [
      "l-function",
      "analytic properties",
      "nonlinear twists",
      "transformation formula",
      "dual twist"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}