{
  "id": "1304.4734",
  "version": "v1",
  "published": "2013-04-17T08:52:45.000Z",
  "updated": "2013-04-17T08:52:45.000Z",
  "title": "Twists and resonance of L-functions, I",
  "authors": [
    "J. Kaczorowski",
    "A. Perelli"
  ],
  "comment": "34 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We obtain the basic analytic properties, i.e. meromorphic continuation, polar structure and bounds for the order of growth, of all the nonlinear twists with exponents $\\leq 1/d$ of the L-functions of any degree $d \\geq 1$ in the extended Selberg class. In particular, this solves the resonance problem in all such cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-17T08:52:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "l-functions",
      "basic analytic properties",
      "meromorphic continuation",
      "resonance problem",
      "nonlinear twists"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.4734K"
    }
  }
}