{
  "id": "math/0504336",
  "version": "v1",
  "published": "2005-04-16T17:45:35.000Z",
  "updated": "2005-04-16T17:45:35.000Z",
  "title": "Small Gaps Between Primes I",
  "authors": [
    "D. A. Goldston",
    "C. Y. Yildirim"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We use short divisor sums to approximate prime tuples and moments for primes in short intervals. By connecting these results to classical moment problems we are able to prove that a positive proportion of consecutive primes are within a quarter of the average spacing between primes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-16T17:45:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N05",
      "11P32"
    ],
    "keywords": [
      "small gaps",
      "short divisor sums",
      "approximate prime tuples",
      "short intervals",
      "classical moment problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4336G"
    }
  }
}