{
  "id": "2312.01076",
  "version": "v1",
  "published": "2023-12-02T08:55:41.000Z",
  "updated": "2023-12-02T08:55:41.000Z",
  "title": "Rational approximation with digit-restricted denominators",
  "authors": [
    "Siddharth Iyer"
  ],
  "comment": "18 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show the existence of ``good'' approximations to a real number $\\gamma$ using rationals with denominators formed by digits $0$ and $1$ in base $b$. We derive an elementary estimate and enhance this result by managing exponential sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-02T08:55:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J99",
      "11A63"
    ],
    "keywords": [
      "rational approximation",
      "digit-restricted denominators",
      "real number",
      "elementary estimate",
      "managing exponential sums"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}