{
  "id": "2110.02539",
  "version": "v3",
  "published": "2021-10-06T07:12:00.000Z",
  "updated": "2022-10-22T08:44:32.000Z",
  "title": "On a different weighted zero-sum constant",
  "authors": [
    "Santanu Mondal",
    "Krishnendu Paul",
    "Shameek Paul"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "For a finite abelian group $(G,+)$, the constant $C(G)$ is defined to be the smallest natural number $k$, such that any sequence of $k$ elements in $G$ has a subsequence of consecutive terms whose sum is zero. We also define a weighted version of this constant and determine its value for some particular weights, for the group $\\mathbb Z_n$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-10-22T08:44:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B50"
    ],
    "keywords": [
      "weighted zero-sum constant",
      "finite abelian group",
      "smallest natural number",
      "subsequence",
      "consecutive terms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}