{
  "abstract": "We consider weighted lattice point enumeration in lecture hall order polytopes. We observe that these half-open polytopes are closed under weight-lifting for a large class of polynomial weights, including monomials and weights given by binomial coefficients. For rooted trees, we prove that the corresponding (weighted) $h^\\ast$-polynomial is real-rooted thereby complementing previous results of Savage-Visontai and Brändén-Leander.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17250",
  "author_total": 2,
  "authors": [
    {
      "name": "Katharina Jochemko"
    },
    {
      "name": "Krishna Menon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/73k7grjzybps1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17250",
  "fulltext_url": null,
  "id": "73k7grjzybps1",
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  "landing_url": "https://arxiv.org/abs/2609.17250",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7213400938",
  "pdf_url": "https://arxiv.org/pdf/2609.17250",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/73k7grjzybps1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.17250",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17250"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Weighted lattice point enumeration in lecture hall order polytopes",
  "title_text": "Weighted lattice point enumeration in lecture hall order polytopes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/73k7grjzybps1",
  "venue": "arXiv",
  "versions": []
}