{
  "abstract": "We introduce the Enhanced Neumann Pólya inequality, which is stronger than Pólya's conjecture, and verify it for many classes of domains, including strip-tiling domains, Euclidean balls, thin product domains, and certain higher-dimensional tiling domains. We develop a geometric removal approach for the Enhanced Neumann Pólya inequality. In particular, our results provide new classes of domains satisfying the Neumann part of Pólya's conjecture.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19455",
  "author_total": 4,
  "authors": [
    {
      "name": "Xiang He"
    },
    {
      "name": "Renjin Jiang"
    },
    {
      "name": "Fanghua Lin"
    },
    {
      "name": "Zuoqin Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2ncxve35k6t4m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19455",
  "fulltext_url": null,
  "id": "2ncxve35k6t4m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19455",
  "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.SP"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7222048879",
  "pdf_url": "https://arxiv.org/pdf/2610.19455",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2ncxve35k6t4m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19455",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19455"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "New Qualitative and Quantitative Estimates for Neumann Eigenvalues toward Pólya's Conjecture",
  "title_text": "New Qualitative and Quantitative Estimates for Neumann Eigenvalues toward Pólya's Conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/2ncxve35k6t4m",
  "venue": "arXiv",
  "versions": []
}