{
  "id": "1704.00221",
  "version": "v1",
  "published": "2017-04-01T19:59:04.000Z",
  "updated": "2017-04-01T19:59:04.000Z",
  "title": "On the representation of integers by binary quadratic forms",
  "authors": [
    "Stanley Yao Xiao"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this note we show that for a given irreducible binary quadratic form $f(x,y)$ with integer coefficients, whenever we have $f(x,y) = f(u,v)$ for integers $x,y,u,v$, there exists a rational automorphism of $f$ which sends $(x,y)$ to $(u,v)$. This answers a question of D.~R.~Heath-Brown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-01T19:59:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "representation",
      "irreducible binary quadratic form",
      "integer coefficients",
      "rational automorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}