{
  "id": "2206.14345",
  "version": "v1",
  "published": "2022-06-29T01:11:02.000Z",
  "updated": "2022-06-29T01:11:02.000Z",
  "title": "On monogenity of certain pure number fields of degrees $2^r\\cdot3^k\\cdot7^s$",
  "authors": [
    "Hamid Ben Yakkou",
    "Jalal Didi"
  ],
  "comment": "submitted 29/05/2022. arXiv admin note: text overlap with arXiv:2109.08765",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $K = \\mathbb{Q} (\\alpha) $ be a pure number field generated by a complex root $\\alpha$ of a monic irreducible polynomial $ F(x) = x^{2^r\\cdot3^k\\cdot7^s} -m \\in \\Z[x]$ with $r, k, \\, \\mbox{and}\\,s $ are three positive natural integers. The purpose of this paper is to study the monogenity of $K$. Our results are illustrated by some examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-29T01:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R04",
      "11R16",
      "11R21",
      "F.2.2"
    ],
    "keywords": [
      "pure number field",
      "monogenity",
      "complex root",
      "positive natural integers",
      "monic irreducible polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}