{
  "id": "math/0111212",
  "version": "v1",
  "published": "2001-11-19T21:51:10.000Z",
  "updated": "2001-11-19T21:51:10.000Z",
  "title": "Higher correlations of divisor sums related to primes I: triple correlations",
  "authors": [
    "Daniel A. Goldston",
    "Cem Yalcin Yildirim"
  ],
  "comment": "58 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We obtain the triple correlations for a truncated divisor sum related to primes. We also obtain the mixed correlations for this divisor sum when it is summed over the primes, and give some applications to primes in short intervals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-11-19T21:51:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N05",
      "11P32"
    ],
    "keywords": [
      "divisor sums",
      "triple correlations",
      "higher correlations",
      "short intervals",
      "truncated divisor sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 58,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11212G"
    }
  }
}