{
  "abstract": "We provide explicit upper and lower bounds for certain commonly occurring expressions that involve the Riemann zeta function $ζ(s)$ and its derivatives on $s>1$. For example, this improves upon existing bounds for $(s-1)ζ(s)$ and its derivatives, and for $(ζ'/ζ)(s)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.08342",
  "author_total": 3,
  "authors": [
    {
      "name": "Stephan Ramon Garcia"
    },
    {
      "name": "Loïc Grenié"
    },
    {
      "name": "Giuseppe Molteni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/60tk3k0k92wr6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.08342",
  "fulltext_url": null,
  "id": "60tk3k0k92wr6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.08342",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7220674150",
  "pdf_url": "https://arxiv.org/pdf/2607.08342",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/60tk3k0k92wr6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2607.08342",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.08342"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Explicit upper and lower bounds on certain functions related to $ζ(s)$ for $s>1$",
  "title_text": "Explicit upper and lower bounds on certain functions related to ζ(s) for s>1",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/60tk3k0k92wr6",
  "venue": "arXiv",
  "versions": []
}