{
  "id": "1605.02920",
  "version": "v1",
  "published": "2016-05-10T10:08:23.000Z",
  "updated": "2016-05-10T10:08:23.000Z",
  "title": "Small gaps between the set of products of at most two primes",
  "authors": [
    "Keiju Sono"
  ],
  "comment": "40 pages, no figure",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we apply the method of Maynard and Tao to the set of products of two distinct primes (E2-numbers). We obtain several results on the distribution of E2-numbers and primes. Among others, the result of Goldston, Pintz, Yildirim and Graham on small gaps between m consecutive E2-numbers is improved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-10T10:08:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small gaps",
      "distinct primes",
      "consecutive e2-numbers",
      "distribution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}