{
  "id": "math/0103058",
  "version": "v2",
  "published": "2001-03-08T15:43:17.000Z",
  "updated": "2001-03-20T11:06:02.000Z",
  "title": "A lower bound in an approximation problem involving the zeros of the Riemann zeta function",
  "authors": [
    "Jean-Francois Burnol"
  ],
  "comment": "17 pages, v2 adds two references. No mathematical changes",
  "journal": "Adv. Math. 170 (2002), no 1, 56--70",
  "doi": "10.1006/aima.2001.2066",
  "categories": [
    "math.NT"
  ],
  "abstract": "We slightly improve the lower bound of Baez-Duarte, Balazard, Landreau and Saias in the Nyman-Beurling formulation of the Riemann Hypothesis as an approximation problem. We construct Hilbert space vectors which could prove useful in the context of the so-called `Hilbert-Polya idea'.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-03-20T11:06:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann zeta function",
      "approximation problem",
      "lower bound",
      "construct hilbert space vectors",
      "riemann hypothesis"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......3058B"
    }
  }
}