{
  "id": "2010.14536",
  "version": "v1",
  "published": "2020-10-27T18:10:39.000Z",
  "updated": "2020-10-27T18:10:39.000Z",
  "title": "On Waring's problem in sums of three cubes",
  "authors": [
    "Javier Pliego"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We investigate the asymptotic formula for the number of representations of a large positive integer as a sum of $k$-th powers of integers represented as the sums of three positive cubes, counted with multiplicities. We also obtain a lower bound for the number of representations when the sums of three cubes are counted without multiplicities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-27T18:10:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P05",
      "11P55"
    ],
    "keywords": [
      "warings problem",
      "representations",
      "lower bound",
      "asymptotic formula",
      "th powers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}