{
  "id": "1610.05344",
  "version": "v1",
  "published": "2016-10-17T20:31:52.000Z",
  "updated": "2016-10-17T20:31:52.000Z",
  "title": "Bombieri-Vinogradov theorem with explicit constants",
  "authors": [
    "Alisa Sedunova"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we improve the result of Akbary and Hambrook by a factor of log x by obtaining a better version of Vaughan's inequality and using the explicit variant of an inequality connected to the M\\\"obius function, derived by Helfgott in his work on ternary Goldbach conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-17T20:31:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bombieri-vinogradov theorem",
      "explicit constants",
      "ternary goldbach conjecture",
      "better version",
      "vaughans inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}