{
  "id": "1407.1747",
  "version": "v1",
  "published": "2014-07-07T15:44:31.000Z",
  "updated": "2014-07-07T15:44:31.000Z",
  "title": "Bounded gaps between primes in special sequences",
  "authors": [
    "Lynn Chua",
    "Soohyun Park",
    "Geoffrey D. Smith"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We use Maynard's methods to show that there are bounded gaps between primes in the sequence $\\{\\lfloor n\\alpha\\rfloor\\}$, where $\\alpha$ is an irrational number of finite type. In addition, given a superlinear function $f$ satisfying some properties described by Leitmann, we show that for all $m$ there are infinitely many bounded intervals containing $m$ primes and at least one integer of the form $\\lfloor f(q)\\rfloor$ with $q$ a positive integer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-07T15:44:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N05",
      "11N36"
    ],
    "keywords": [
      "bounded gaps",
      "special sequences",
      "irrational number",
      "maynards methods",
      "finite type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.1747C"
    }
  }
}