{
  "abstract": "Recently, OpenAI announced a uniform $7/8$ zero-free half-plane for finite-order Hecke $L$-functions over $\\mathbb{Q}(\\sqrt{-3})$, together with its transfer to Dirichlet $L$-functions. Assuming the analytic inputs of that work, we improve the boundary from $7/8=0.875$ to $8748867/10000000=0.8748867$ for the same families. The improvement combines a relaxed direct estimate with an amplified first moment of the reflected numerator, obtained from the existing fourth-moment estimate. A two-stage parameter argument yields the stated boundary without strengthening the inverse-moment estimate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15291",
  "author_total": 2,
  "authors": [
    {
      "name": "Yuanda Xu"
    },
    {
      "name": "Hejian Sang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8v5279tta21z8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15291",
  "fulltext_url": null,
  "id": "8v5279tta21z8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15291",
  "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|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7221767074",
  "pdf_url": "https://arxiv.org/pdf/2610.15291",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8v5279tta21z8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:54Z",
      "native_id": "2610.15291",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15291"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Amplified moments and a refinement of the quasi-Riemann hypothesis",
  "title_text": "Amplified moments and a refinement of the quasi-Riemann hypothesis",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/8v5279tta21z8",
  "venue": "arXiv",
  "versions": []
}