{
  "id": "2209.12832",
  "version": "v1",
  "published": "2022-09-14T09:19:31.000Z",
  "updated": "2022-09-14T09:19:31.000Z",
  "title": "Screw functions of Dirichlet series in the extended Selberg class",
  "authors": [
    "Masatoshi Suzuki"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduce screw functions for Dirichlet series in the extended Selberg class. Then we prove that the Grand Riemann Hypothesis for a member of the extended Selberg class is equivalent to the nonpositivity of the corresponding screw function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-14T09:19:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26",
      "42A82"
    ],
    "keywords": [
      "extended selberg class",
      "dirichlet series",
      "grand riemann hypothesis",
      "corresponding screw function",
      "equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}