{
  "id": "math/0608741",
  "version": "v1",
  "published": "2006-08-30T00:03:33.000Z",
  "updated": "2006-08-30T00:03:33.000Z",
  "title": "Remarks on a Problem of Eisenstein",
  "authors": [
    "Roger C. Alperin"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The fundamental unit of $\\Z[\\sqrt{N}]$ for square-free $N=5 mod 8$ is either $\\epsilon$ or $\\epsilon^3$ where $\\epsilon$ denotes the fundamental unit of the maximal order of $\\Q(\\sqrt{N})$. We give infinitely many examples for each case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-08-30T00:03:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R65",
      "11R29"
    ],
    "keywords": [
      "eisenstein",
      "fundamental unit",
      "maximal order"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......8741A"
    }
  }
}