{
  "id": "2310.07501",
  "version": "v1",
  "published": "2023-10-11T13:59:22.000Z",
  "updated": "2023-10-11T13:59:22.000Z",
  "title": "On the plus parts of the class numbers of cyclotomic fields",
  "authors": [
    "Kalyan Chakraborty",
    "Azizul Hoque"
  ],
  "comment": "12 pages. To appear in `Chinese Annals of Mathematics, Series B'",
  "categories": [
    "math.NT"
  ],
  "abstract": "We exhibit some new families of cyclotomic fields which have non-trivial plus parts of their class numbers. We also prove the $3$ - divisibility of the plus part of the class number of another family consisting of infinitely many cyclotomic fields. At the end, we provide some numerical examples supporting our results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-11T13:59:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R29",
      "11R18",
      "11R80"
    ],
    "keywords": [
      "cyclotomic fields",
      "class number",
      "non-trivial plus parts",
      "numerical examples"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}