{
  "id": "math/0703325",
  "version": "v1",
  "published": "2007-03-12T09:18:10.000Z",
  "updated": "2007-03-12T09:18:10.000Z",
  "title": "A note on 4-rank densities",
  "authors": [
    "Robert Osburn"
  ],
  "comment": "9 pages",
  "journal": "Canad. Math. Bull. 47 (2004), no. 3, 431-438",
  "categories": [
    "math.NT",
    "math.KT"
  ],
  "abstract": "For certain real quadratic number fields, we prove density results concerning 4-ranks of tame kernels. We also discuss a relationship between 4-ranks of tame kernels and 4-class ranks of narrow ideal class groups. Additionally, we give a product formula for a local Hilbert symbol.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-12T09:18:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R70",
      "19F99",
      "11R11",
      "11R45"
    ],
    "keywords": [
      "real quadratic number fields",
      "tame kernels",
      "narrow ideal class groups",
      "local hilbert symbol",
      "product formula"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3325O"
    }
  }
}