{
  "id": "1108.0162",
  "version": "v2",
  "published": "2011-07-31T10:37:22.000Z",
  "updated": "2011-12-27T15:58:04.000Z",
  "title": "The least common multiple of a sequence of products of linear polynomials",
  "authors": [
    "Shaofang Hong",
    "Guoyou Qian",
    "Qianrong Tan"
  ],
  "comment": "To appear in Acta Mathematica Hungarica",
  "journal": "Acta Math. Hungari. 135 (2012), 160-167",
  "doi": "10.1007/s10474-011-0173-4",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $f(x)$ be the product of several linear polynomials with integer coefficients. In this paper, we obtain the estimate: $\\log {\\rm lcm}(f(1), ..., f(n))\\sim An$ as $n\\rightarrow\\infty $, where $A$ is a constant depending on $f$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-12-27T15:58:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "linear polynomials",
      "common multiple",
      "integer coefficients"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.0162H"
    }
  }
}