{
  "id": "0707.3371",
  "version": "v1",
  "published": "2007-07-23T12:42:35.000Z",
  "updated": "2007-07-23T12:42:35.000Z",
  "title": "Approximation by Several Rationals",
  "authors": [
    "Igor E. Shparlinski"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Following T. H. Chan, we consider the problem of approximation of a given rational fraction a/q by sums of several rational fractions a_1/q_1, ..., a_n/q_n with smaller denominators. We show that in the special cases of n=3 and n=4 and certain admissible ranges for the denominators q_1,..., q_n, one can improve a result of T. H. Chan by using a different approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-23T12:42:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "approximation",
      "rational fraction a/q",
      "smaller denominators",
      "special cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.3371S"
    }
  }
}