{
  "id": "1610.04044",
  "version": "v1",
  "published": "2016-10-13T12:11:35.000Z",
  "updated": "2016-10-13T12:11:35.000Z",
  "title": "Diophantine approximation by prime numbers of a special form",
  "authors": [
    "S. I. Dimitrov",
    "T. L. Todorova"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that for $B>1$ and for constants $\\lambda _i,\\,i=1,2,3$ subject to certain assumptions, there are infinitely many prime triples $p_1,\\, p_2,\\, p_3$ satisfying the inequality $|\\lambda _1p_1 + \\lambda _2p_2 + \\lambda _3p_3+\\eta| < [\\log (\\max p_j)]^{-B}$ and such that $p_i+2=P_8,i=1,2,3$. The proof uses Davenport - Heilbronn adaption of the circle method together with a vector sieve method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-13T12:11:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prime numbers",
      "special form",
      "diophantine approximation",
      "vector sieve method",
      "prime triples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}