{
  "id": "1704.05898",
  "version": "v1",
  "published": "2017-04-19T19:05:46.000Z",
  "updated": "2017-04-19T19:05:46.000Z",
  "title": "Fractional parts of polynomials over the primes. II",
  "authors": [
    "Roger Baker"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider the distance to the nearest integer of f(p), where f is a quadratic polynomial with irrational leading coefficient. This distance is very small as a function of p, for infinitely many primes p. We give a 14% improvement in the exponent that measures the distance, compared with the most recent result in the literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-19T19:05:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "10J54",
      "11L20",
      "11N36"
    ],
    "keywords": [
      "fractional parts",
      "nearest integer",
      "quadratic polynomial",
      "irrational leading coefficient",
      "literature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}