{
  "abstract": "In this paper, we establish lower bounds for extreme values of derivatives of Dedekind zeta functions on the \\(1\\)-line over arbitrary fixed number fields. Our result extends Yang's corresponding estimate for the Riemann zeta function in 2024, with the leading constant involving residues of Dedekind zeta functions and a moment of the Dickman function. A key ingredient is a uniform asymptotic formula for weighted friable sums involving the coefficients of Dedekind zeta functions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02675",
  "author_total": 4,
  "authors": [
    {
      "name": "Zikang Dong"
    },
    {
      "name": "Qiyu Yang"
    },
    {
      "name": "Shengbo Zhao"
    },
    {
      "name": "Guang-Liang Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ey24z8czjqqck.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02675",
  "fulltext_url": null,
  "id": "ey24z8czjqqck",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02675",
  "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.NT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02675",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ey24z8czjqqck.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02675",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02675"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Extreme values of derivatives of Dedekind zeta functions on the $1$-line",
  "title_text": "Extreme values of derivatives of Dedekind zeta functions on the $1$-line",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/ey24z8czjqqck",
  "venue": "arXiv",
  "versions": []
}