{
  "id": "math/0606332",
  "version": "v1",
  "published": "2006-06-14T10:08:14.000Z",
  "updated": "2006-06-14T10:08:14.000Z",
  "title": "On Weil Numbers in Cyclotomic Fields",
  "authors": [
    "Bruno Angles",
    "Tatiana Beliaeva"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note, we investigate the p-adic behavior of Weil numbers in the cyclotomic $\\mathbb Z\\_p$-extension of $\\mathbb Q(\\zeta\\_p).$ We determlne the characteristic ideal of the quotient of semi-local units by Weil numbers in terms of the characteristic ideals of some classical modules that appear in Iwasawa Theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-06-14T10:08:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R18",
      "11R23",
      "11L05"
    ],
    "keywords": [
      "weil numbers",
      "cyclotomic fields",
      "characteristic ideal",
      "p-adic behavior",
      "semi-local units"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6332A"
    }
  }
}