{
  "id": "2309.03422",
  "version": "v1",
  "published": "2023-09-07T00:54:26.000Z",
  "updated": "2023-09-07T00:54:26.000Z",
  "title": "A Note on Heights of Cyclotomic Polynomials",
  "authors": [
    "Gennady Bachman",
    "Christopher Bao",
    "Shenlone Wu"
  ],
  "comment": "9 pages, no figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that for any positive integer $h$, either $h$ or $h+1$ is a height of some cyclotomic polynomial $\\Phi_n$, where $n$ is a product of three distinct primes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-07T00:54:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83",
      "11C08"
    ],
    "keywords": [
      "cyclotomic polynomial",
      "distinct primes",
      "positive integer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}