{
  "abstract": "For a nonzero real polynomial $p$, let $\\W(p)$ denote the numerator of its ordinary generating function. We prove that if the coefficients of both $\\W(p)$ and $\\W(q)$ are nonnegative and log-concave with no internal zeros, then so are the coefficients of $\\W(pq)$. This provides an affirmative answer to a question of Brändén, Ferroni, and Jochemko. As applications, we derive corresponding results for finite products and for Cartesian products of lattice polytopes, answering a question of Ferroni and Higashitani.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11589",
  "author_total": 2,
  "authors": [
    {
      "name": "Yanxin Liu"
    },
    {
      "name": "Jianxi Mao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3a0dm5fbjwc2w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11589",
  "fulltext_url": null,
  "id": "3a0dm5fbjwc2w",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11589",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7212239675",
  "pdf_url": "https://arxiv.org/pdf/2609.11589",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3a0dm5fbjwc2w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:30Z",
      "native_id": "2609.11589",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11589"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Preservation of log-concavity under Hadamard products",
  "title_text": "Preservation of log-concavity under Hadamard products",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:30Z",
  "url": "https://research.draconitic.com/paper/3a0dm5fbjwc2w",
  "venue": "arXiv",
  "versions": []
}