{
  "id": "1706.00042",
  "version": "v1",
  "published": "2017-05-31T18:24:20.000Z",
  "updated": "2017-05-31T18:24:20.000Z",
  "title": "A problem on partial sums in abelian groups",
  "authors": [
    "Simone Costa",
    "Fiorenza Morini",
    "Anita Pasotti",
    "Marco Antonio Pellegrini"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we propose a conjecture concerning partial sums of an arbitrary finite subset of an abelian group, that naturally arises investigating simple Heffter systems. Then, we show its connection with related open problems and we present some results about the validity of these conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-31T18:24:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C25",
      "05C38"
    ],
    "keywords": [
      "abelian group",
      "arises investigating simple heffter systems",
      "arbitrary finite subset",
      "conjecture concerning partial sums",
      "open problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}