{
  "id": "math/0112254",
  "version": "v6",
  "published": "2001-12-22T13:54:26.000Z",
  "updated": "2003-03-11T14:46:28.000Z",
  "title": "On Fourier and Zeta(s)",
  "authors": [
    "Jean-Francois Burnol"
  ],
  "comment": "50 pages. Oct 2002: Final ms, to appear in Forum Mathematicum. March 2003: we have become aware that Duffin and Weinberger had discovered earlier the ``co-Poisson formula''. See added footnote on page 3. Our whole analysis, and especially the connections with the zeta function, remains a novel contribution",
  "journal": "Forum Mathematicum 16 (2004), 789-840",
  "doi": "10.1515/form.2004.16.6.789",
  "categories": [
    "math.NT"
  ],
  "abstract": "We study some of the interactions between the Fourier Transform and the Riemann zeta function (and Dirichlet-Dedekind-Hecke-Tate L-functions)",
  "revisions": [
    {
      "version": "v6",
      "updated": "2003-03-11T14:46:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11M26",
      "42A99",
      "11R56",
      "30D99",
      "46E22",
      "47A40",
      "81T99"
    ],
    "keywords": [
      "riemann zeta function",
      "fourier transform",
      "dirichlet-dedekind-hecke-tate l-functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12254B"
    }
  }
}