{
  "id": "math/0409377",
  "version": "v1",
  "published": "2004-09-21T03:32:47.000Z",
  "updated": "2004-09-21T03:32:47.000Z",
  "title": "On the g.c.d. of an infinite number of integers",
  "authors": [
    "T. N. Venkataramana"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that the gcd of certain infinite number of integers associated to generalised arithmetic progressions remains bounded independent of the progression. Using this we also get bounds on the indices of certain congruence subgroups of arithmetic groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-21T03:32:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite number",
      "arithmetic progressions remains bounded independent",
      "generalised arithmetic progressions remains",
      "congruence subgroups",
      "arithmetic groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9377V"
    }
  }
}