{
  "id": "1111.6718",
  "version": "v1",
  "published": "2011-11-29T07:54:59.000Z",
  "updated": "2011-11-29T07:54:59.000Z",
  "title": "Caliber numbers of real quadratic fields",
  "authors": [
    "Byungheup Jun",
    "Jungyun Lee"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We obtain lower bound of caliber number of real quadratic field $K=\\FQ(\\sqrt{d})$ using splitting primes in $K$. We find all real quadratic fields of caliber number 1 and find all real quadratic fields of caliber number 2 if $d$ is not 5 modulo 8. In both cases, we don't rely on the assumption on $\\zeta_K(1/2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-29T07:54:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "real quadratic field",
      "caliber number",
      "lower bound",
      "splitting primes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6718J"
    }
  }
}