{
  "id": "1406.3441",
  "version": "v2",
  "published": "2014-06-13T07:23:45.000Z",
  "updated": "2014-08-24T21:12:28.000Z",
  "title": "Sum of one prime and two squares of primes in short intervals",
  "authors": [
    "Alessandro Languasco",
    "Alessandro Zaccagnini"
  ],
  "comment": "minor changes",
  "categories": [
    "math.NT"
  ],
  "abstract": "For sufficiently large $N$ we prove that the interval $[N,N+H]$, $H\\ge N^{7/12+\\epsilon}$, contains an integer which is a sum of a prime and two squares of primes. If we assume the Riemann Hypothesis we can take $H \\ge C (\\log N)^{4}$, where $C >0$ is an effective constant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-13T07:23:45.000Z",
      "comment": "11 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-24T21:12:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P32",
      "11P55",
      "11P05"
    ],
    "keywords": [
      "short intervals",
      "riemann hypothesis",
      "sufficiently large",
      "effective constant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.3441L"
    }
  }
}