{
  "id": "1510.04800",
  "version": "v1",
  "published": "2015-10-16T07:09:56.000Z",
  "updated": "2015-10-16T07:09:56.000Z",
  "title": "On the Integral Representation of Binary Quadratic Forms and the Artin Condition",
  "authors": [
    "Chang Lv"
  ],
  "comment": "11 pages, git commit 20150803a/ab55d8d. arXiv admin note: substantial text overlap with arXiv:1502.07457",
  "categories": [
    "math.NT"
  ],
  "abstract": "For diophantine equations of the form ax^2+bxy+cy^2+g=0 over Z whose coefficients satisfy some hypotheses, we show that the Artin condition is the only obstruction to the local-global principle for integral solutions of the equation. Some concrete examples are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-16T07:09:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D09",
      "11E12",
      "11D57",
      "11D57",
      "14L30",
      "11R37"
    ],
    "keywords": [
      "binary quadratic forms",
      "artin condition",
      "integral representation",
      "diophantine equations",
      "coefficients satisfy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151004800L"
    }
  }
}