{
  "id": "0807.1970",
  "version": "v2",
  "published": "2008-07-12T12:08:04.000Z",
  "updated": "2008-09-11T17:24:34.000Z",
  "title": "Diophantine sets of polynomials over number fields",
  "authors": [
    "Jeroen Demeyer"
  ],
  "comment": "Previous version had a mistake in Proposition 18. This problem is avoided by working only with number fields instead of finitely generated fields of characteristic zero",
  "categories": [
    "math.NT",
    "math.LO"
  ],
  "abstract": "Let R be a recursive subring of a number field. We show that recursively enumerable sets are diophantine for the polynomial ring R[Z].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-11T17:24:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D99",
      "03D25",
      "12L12",
      "11R09",
      "12E10"
    ],
    "keywords": [
      "number field",
      "diophantine sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.1970D"
    }
  }
}