{
  "id": "math/0605063",
  "version": "v2",
  "published": "2006-05-02T14:55:12.000Z",
  "updated": "2006-05-03T08:15:10.000Z",
  "title": "Local Riemann Hypothesis for complex numbers",
  "authors": [
    "Rikard Olofsson"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper a special class of local zeta functions is studied. The main theorem states that the functions have all zeros on the line Re (s)=1/2. This is a natural generalization of the result of Bump and Ng stating that the zeros of the Mellin transform of Hermite functions have Re (s)=1/2.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-05-03T08:15:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41"
    ],
    "keywords": [
      "local riemann hypothesis",
      "complex numbers",
      "local zeta functions",
      "main theorem states",
      "hermite functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5063O"
    }
  }
}