{
  "abstract": "We develop an analytic framework to study hyperbolicity of Jensen polynomials and related inequalities for arithmetic sequences with general asymptotic growth. Our results provide partial converses to the Hermite--Jensen phenomenon of Griffin, Ono, Zagier, and the third author. As applications we prove several conjectures concerning log-concavity, higher-order Turan inequalities, Laguerre inequalities, infinite log-concavity, and Toeplitz determinants for partition-type functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14295",
  "author_total": 3,
  "authors": [
    {
      "name": "Koustav Banerjee"
    },
    {
      "name": "Kathrin Bringmann"
    },
    {
      "name": "Larry Rolen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cbky10wpaj11j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14295",
  "fulltext_url": null,
  "id": "cbky10wpaj11j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14295",
  "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.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7213345039",
  "pdf_url": "https://arxiv.org/pdf/2609.14295",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cbky10wpaj11j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:07Z",
      "native_id": "2609.14295",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14295"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The Jensen--Pólya program and inequalities for arithmetic sequences",
  "title_text": "The Jensen--Pólya program and inequalities for arithmetic sequences",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:07Z",
  "url": "https://research.draconitic.com/paper/cbky10wpaj11j",
  "venue": "arXiv",
  "versions": []
}