{
  "id": "1212.1392",
  "version": "v1",
  "published": "2012-12-06T17:46:20.000Z",
  "updated": "2012-12-06T17:46:20.000Z",
  "title": "On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1",
  "authors": [
    "Akiko Ito"
  ],
  "comment": "51 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let p be an odd prime number. In this paper, we show existence of certain infinite families of imaginary quadratic fields in which p splits and whose Iwasawa {\\lambda}-invariant of the cyclotomic Zp-extension is equal to 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-06T17:46:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R11",
      "11R23",
      "11R29"
    ],
    "keywords": [
      "imaginary quadratic fields",
      "infinite families",
      "odd prime number",
      "cyclotomic zp-extension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.1392I"
    }
  }
}