{
  "id": "1811.00856",
  "version": "v1",
  "published": "2018-11-02T13:42:21.000Z",
  "updated": "2018-11-02T13:42:21.000Z",
  "title": "Almost equal summands in Waring's problem with shifts",
  "authors": [
    "Kirsti Biggs"
  ],
  "comment": "To appear in Monatsh. Math",
  "doi": "10.1007/s00605-018-1178-7",
  "categories": [
    "math.NT"
  ],
  "abstract": "A result of Wright from 1937 shows that there are arbitrarily large natural numbers which cannot be represented as sums of $s$ $k$th powers of natural numbers which are constrained to lie within a narrow region. We show that the analogue of this result holds in the shifted version of Waring's problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-02T13:42:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D75",
      "11P05"
    ],
    "keywords": [
      "warings problem",
      "equal summands",
      "arbitrarily large natural numbers",
      "th powers",
      "result holds"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}