{
  "id": "0805.2745",
  "version": "v3",
  "published": "2008-05-19T14:15:38.000Z",
  "updated": "2009-01-10T02:30:51.000Z",
  "title": "On the distribution of imaginary parts of zeros of the Riemann zeta function, II",
  "authors": [
    "Kevin Ford",
    "K. Soundararajan",
    "Alexandru Zaharescu"
  ],
  "comment": "v3. 19 pages, 3 figures. Minor corrections",
  "journal": "Math. Annalen 343 (2009), 487-505",
  "categories": [
    "math.NT"
  ],
  "abstract": "We continue our investigation of the distribution of the fractional parts of $a \\gamma$, where $a$ is a fixed non-zero real number and $\\gamma$ runs over the imaginary parts of the non-trivial zeros of the Riemann zeta function. We establish some connections to pair correlation functions and the distribution of primes in short intervals. We also discuss analogous results for a more general L-function. This is a sequel to the paper math.NT/0405459.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-01-10T02:30:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26",
      "11K38"
    ],
    "keywords": [
      "riemann zeta function",
      "imaginary parts",
      "distribution",
      "fixed non-zero real number",
      "pair correlation functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.2745F"
    }
  }
}