{
  "id": "1606.08616",
  "version": "v1",
  "published": "2016-06-28T08:55:58.000Z",
  "updated": "2016-06-28T08:55:58.000Z",
  "title": "Explicit Short Intervals for Primes in Arithmetic Progressions on GRH",
  "authors": [
    "Adrian W. Dudek",
    "Loïc Grenié",
    "Giuseppe Molteni"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove explicit versions of Cram\\'er's theorem for primes in arithmetic progressions, on the assumption of the generalized Riemann hypothesis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-28T08:55:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N13",
      "11N05"
    ],
    "keywords": [
      "explicit short intervals",
      "arithmetic progressions",
      "explicit versions",
      "generalized riemann hypothesis",
      "cramers theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}