{
  "id": "1609.01700",
  "version": "v1",
  "published": "2016-09-06T19:12:38.000Z",
  "updated": "2016-09-06T19:12:38.000Z",
  "title": "Problems in additive number theory, V: Affinely inequivalent MSTD sets",
  "authors": [
    "Melvyn B. Nathanson"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "An MSTD set is a finite set of integers with more sums than differences. It is proved that, for infinitely many positive integers $k$, there are infinitely many affinely inequivalent MSTD sets of cardinality $k$. There are several related open problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-06T19:12:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B13",
      "05A17",
      "05A20",
      "11B75",
      "11P99"
    ],
    "keywords": [
      "affinely inequivalent mstd sets",
      "additive number theory",
      "related open problems",
      "finite set",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}