{
  "id": "math/0507541",
  "version": "v1",
  "published": "2005-07-26T16:30:48.000Z",
  "updated": "2005-07-26T16:30:48.000Z",
  "title": "Equal sums of like polynomials",
  "authors": [
    "T. D. Browning"
  ],
  "comment": "8 pages; to appear in Bull. London Math. Soc",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $f$ be a polynomial of degree $d>6$, with integer coefficients. Then the paucity of non-trivial positive integer solutions to the equation $f(a)+f(b)=f(c)+f(d)$ is established. The corresponding situation for equal sums of three like polynomials is also investigated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-07-26T16:30:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "11P05"
    ],
    "keywords": [
      "equal sums",
      "polynomial",
      "non-trivial positive integer solutions",
      "integer coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7541B"
    }
  }
}