{
  "abstract": "We introduce a $q$-analogue of the classical Zeta polynomial of fiinite partially ordered sets, as a polynomial in one variable $x$ with coefficients depending on the indeterminate $q$. We prove some properties of this polynomial invariant, including its behaviour with respect to duality, product and disjoint union. The leading term is a $q$-analogue of the number of maximal chains, but not always with non-negative coefficients. The value at $q=0$ turns out to be essentially the characteristic polynomial.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Frédéric Chapoton"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0j6tjnjydkhjh.bib",
  "cited_by": 0,
  "doi": "10.37236/13820",
  "fulltext_url": null,
  "id": "0j6tjnjydkhjh",
  "issns": [
    "1077-8926"
  ],
  "landing_url": "https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p21",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W4391922582",
  "pdf_url": "https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i4p21/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": "The Electronic Journal of Combinatorics",
  "ris": "https://research.draconitic.com/paper/0j6tjnjydkhjh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:24Z",
      "native_id": "10.37236/13820",
      "source": "crossref",
      "url": "https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p21"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Advanced Combinatorial Mathematics",
      "subfield": "combinatorics"
    }
  ],
  "title": "On a $q$-Analogue of the Zeta Polynomial of Posets",
  "title_text": "On a q-Analogue of the Zeta Polynomial of Posets",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:24Z",
  "url": "https://research.draconitic.com/paper/0j6tjnjydkhjh",
  "venue": "The Electronic Journal of Combinatorics",
  "versions": []
}