{
  "id": "1005.0658",
  "version": "v2",
  "published": "2010-05-05T01:04:52.000Z",
  "updated": "2013-04-29T11:10:21.000Z",
  "title": "On the sum of two integral squares in certain quadratic fields",
  "authors": [
    "Dasheng Wei"
  ],
  "comment": "16 pages,Forum Math.(to appear)",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note, we give a necessary and sufficient condition for determining which integers can be written as a sum of two integral squares for certain quadratic fields by using the integral Brauer-manin obstruction (see \\cite{CTX}). The condition is computable and originally from the reciprocity law.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-29T11:10:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral squares",
      "quadratic fields",
      "integral brauer-manin obstruction",
      "sufficient condition",
      "reciprocity law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.0658W"
    }
  }
}