{
  "id": "2101.08610",
  "version": "v1",
  "published": "2021-01-21T13:55:54.000Z",
  "updated": "2021-01-21T13:55:54.000Z",
  "title": "Medium-sized values for the Prime Number Theorem for primes in arithmetic progression",
  "authors": [
    "Matteo Bordignon"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give two improved explicit versions of the prime number theorem for primes in arithmetic progression: the first isolating the contribution of the Siegel zero and the second completely explicit, where the improvement is for medium-sized values. This will give an improved explicit Bombieri-Vinogradov like result for non-exceptional moduli.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-21T13:55:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "prime number theorem",
      "arithmetic progression",
      "medium-sized values",
      "explicit versions",
      "siegel zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}