{
  "id": "1606.06929",
  "version": "v1",
  "published": "2016-06-22T12:43:32.000Z",
  "updated": "2016-06-22T12:43:32.000Z",
  "title": "Partitions of the set of nonnegative integers with the same representation functions",
  "authors": [
    "Sándor Z. Kiss",
    "Csaba Sándor"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "For a set of nonnegative integers $S$ let $R_{S}(n)$ denote the number of unordered representations of the integer $n$ as the sum of two different terms from $S$. In this paper we focus on partitions of the natural numbers into two sets affording identical representation functions. We solve a recent problem of Lev and Chen.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-22T12:43:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonnegative integers",
      "partitions",
      "sets affording identical representation functions",
      "natural numbers",
      "unordered representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}