{
  "id": "math/9504229",
  "version": "v1",
  "published": "1995-04-01T00:00:00.000Z",
  "updated": "1995-04-01T00:00:00.000Z",
  "title": "Polynomials involving the floor function",
  "authors": [
    "Inger Johanne Håland",
    "Donald E. Knuth"
  ],
  "journal": "Math. Scand. 76 (1995), no. 2, 194--200",
  "categories": [
    "math.NT"
  ],
  "abstract": "Some identities are presented that generalize the formula x^3 = 3x floor(x floor(x)) - 3 floor(x) floor(x floor(x)) + floor(x)^3 + 3 frac(x) frac(x floor(x)) + frac(x)^3 to a representation of the product x_0x_1 ... x_{n-1}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-04-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "floor function",
      "polynomials",
      "3x floor"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1995math......4229J"
    }
  }
}