{
  "abstract": "We study three plane-partition enumerators arising from Schreier-Aigner's quasi-symmetry classes. Their realizations as lattice-point enumerators, together with staircase translations of interior lattice points, yield factorizations by Ehrhart-Macdonald reciprocity. We determine the consecutive linear factors, the parity and degree of the residual polynomials, and explicit divisibility bounds for their coefficient denominators. The denominator argument includes the half-integral translation required by the second-kind classes. We also derive a corrected size-five formula for the symmetric second-kind class. Exact computations verify irreducibility of the quasi-symmetric residual polynomials for every size from $3$ to $24$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16765",
  "author_total": 1,
  "authors": [
    {
      "name": "Yinuo Cheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/46gx0vzpqj5bb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16765",
  "fulltext_url": null,
  "id": "46gx0vzpqj5bb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16765",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7213395959",
  "pdf_url": "https://arxiv.org/pdf/2609.16765",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/46gx0vzpqj5bb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.16765",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16765"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Ehrhart reciprocity and forced factors in three plane-partition enumerators",
  "title_text": "Ehrhart reciprocity and forced factors in three plane-partition enumerators",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/46gx0vzpqj5bb",
  "venue": "arXiv",
  "versions": []
}