{
  "id": "1305.3259",
  "version": "v1",
  "published": "2013-05-14T19:40:53.000Z",
  "updated": "2013-05-14T19:40:53.000Z",
  "title": "The multisubset sum problem for finite abelian groups",
  "authors": [
    "Amela Muratovic-Ribic",
    "Qiang Wang"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In this note, we give the explicit formula for the number of multisubsets of a finite abelian group $G$ with any given size such that the sum is equal to a given element $g\\in G$. This also gives the number of partitions of $g$ into a given number of parts over a finite abelian group. An inclusion-exclusion formula for the number of multisubsets of a subset of $G$ with a given size and a given sum is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-14T19:40:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B30",
      "05A15",
      "20K01",
      "11T06"
    ],
    "keywords": [
      "finite abelian group",
      "multisubset sum problem",
      "explicit formula",
      "inclusion-exclusion formula",
      "partitions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.3259M"
    }
  }
}