{
  "id": "2403.11814",
  "version": "v2",
  "published": "2024-03-18T14:17:17.000Z",
  "updated": "2024-04-09T18:20:33.000Z",
  "title": "The error in the prime number theorem in short intervals",
  "authors": [
    "Ethan Simpson Lee"
  ],
  "comment": "13 pages, any comments or suggestions are warmly welcomed! (Extra lit review and minor typographical updates in update.)",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using a new smoothing argument, we establish explicit versions of the prime number theorem in short intervals and consider the limiting behaviour of this result.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-04-09T18:20:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N05",
      "11L20",
      "11Y35",
      "11M26",
      "11M06"
    ],
    "keywords": [
      "prime number theorem",
      "short intervals",
      "establish explicit versions",
      "limiting behaviour"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}