{
  "id": "1511.02478",
  "version": "v1",
  "published": "2015-11-08T12:52:25.000Z",
  "updated": "2015-11-08T12:52:25.000Z",
  "title": "On the number of ramified primes in specializations of function fields over $\\mathbb{Q}$",
  "authors": [
    "Lior Bary-Soroker",
    "François Legrand"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We study the number of ramified prime numbers in finite Galois extensions of $\\mathbb{Q}$ obtained by specializing a finite Galois extension of $\\mathbb{Q}(T)$. Our main result is a central limit theorem for this number. We also give some Galois theoretical applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-08T12:52:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "function fields",
      "finite galois extension",
      "specializations",
      "central limit theorem",
      "ramified prime numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151102478B"
    }
  }
}