{
  "id": "0711.0171",
  "version": "v2",
  "published": "2007-11-01T17:44:20.000Z",
  "updated": "2007-11-07T10:22:49.000Z",
  "title": "On the distribution of αp modulo one for primes p of a special form",
  "authors": [
    "T. L. Todorova",
    "D. I. Tolev"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "A classical problem in analytic number theory is to study the distribution of $\\alpha p$ modulo 1, where $\\alpha$ is irrational and $p$ runs over the set of primes. We consider the subsequence generated by the primes $p$ such that $p+2$ is an almost-prime (the existence of infinitely many such $p$ is another topical result in prime number theory) and prove that its distribution has a similar property.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-07T10:22:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J71",
      "11N36"
    ],
    "keywords": [
      "special form",
      "distribution",
      "analytic number theory",
      "prime number theory",
      "similar property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0711.0171T"
    }
  }
}