{
  "id": "2402.16357",
  "version": "v2",
  "published": "2024-02-26T07:22:16.000Z",
  "updated": "2024-09-02T11:56:18.000Z",
  "title": "Linear recurrent sequences providing decomposition law in number fields",
  "authors": [
    "Haruto Hori",
    "Masanari Kida"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In their recent paper, Rosen, Takeyama, Tasaka, and Yamamoto constructed recurrent sequences providing a decomposition law of primes in a Galois extension. In this paper, we reconstruct their sequences via representation theory of finite groups and obtain an explicit description of the sequences.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2024-09-02T11:56:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R21",
      "11B37",
      "20C15"
    ],
    "keywords": [
      "linear recurrent sequences",
      "decomposition law",
      "number fields",
      "yamamoto constructed recurrent sequences",
      "explicit description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}