{
  "id": "2005.10809",
  "version": "v1",
  "published": "2020-05-21T17:44:29.000Z",
  "updated": "2020-05-21T17:44:29.000Z",
  "title": "Sums of Finite Sets of Integers, II",
  "authors": [
    "Melvyn B. Nathanson"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Let $\\mathcal{A}$ be a finite set of integers, and let $h\\mathcal{A}$ denote the $h$-fold sumset of $\\mathcal{A}$. Let $(h\\mathcal{A})^{(t)}$ be subset of $h\\mathcal{A}$ consisting of all integers that have at least $t$ representations as a sum of $h$ elements of $\\mathcal{A}$. The structure of the set $(h\\mathcal{A})^{(t)}$ is completely determined for all $h \\geq h_t$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-21T17:44:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B13",
      "11B34",
      "11B75",
      "11D07"
    ],
    "keywords": [
      "finite set",
      "fold sumset",
      "representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}