{
  "id": "1705.06128",
  "version": "v1",
  "published": "2017-05-17T12:43:40.000Z",
  "updated": "2017-05-17T12:43:40.000Z",
  "title": "On a conjecture of B. C. Kellner",
  "authors": [
    "Olivier Bordellès"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The aim of this note is a proof of a recent conjecture of Kellner concerning the number of distinct prime factors of a particular product of primes. The proof uses profound results from analytic number theory, such as Walfisz's estimate of an exponential sum over primes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-17T12:43:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37",
      "11L20",
      "11A41"
    ],
    "keywords": [
      "conjecture",
      "distinct prime factors",
      "analytic number theory",
      "profound results",
      "walfiszs estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}