{
  "id": "math/0603569",
  "version": "v3",
  "published": "2006-03-24T06:12:43.000Z",
  "updated": "2007-04-10T09:32:33.000Z",
  "title": "Density of integer solutions to diagonal quadratic forms",
  "authors": [
    "T. D. Browning"
  ],
  "comment": "23 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q=0, which lie in a box with sides of length 2B, as B tends to infinity. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-04-10T09:32:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G35",
      "11P55",
      "14G05"
    ],
    "keywords": [
      "integer solutions",
      "non-singular diagonal quadratic form",
      "upper bounds",
      "length 2b",
      "grow larger"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......3569B"
    }
  }
}