{
  "abstract": "In this paper, we establish $Ω$-results for the logarithmic derivative of the Riemann zeta function on vertical homogeneous progressions on the 1-line and in the critical strip. Compared with Yang's work in 2023, our results show that the discrete case has a similar order of magnitude to the continuous case.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18939",
  "author_total": 1,
  "authors": [
    {
      "name": "Shengbo Zhao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/16x8vss43fz90.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18939",
  "fulltext_url": null,
  "id": "16x8vss43fz90",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18939",
  "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": "W7213501716",
  "pdf_url": "https://arxiv.org/pdf/2609.18939",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/16x8vss43fz90.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18939",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18939"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "$Ω$-results for the logarithmic derivative of $ζ(s)$ on vertical homogeneous progressions",
  "title_text": "Ω-results for the logarithmic derivative of ζ(s) on vertical homogeneous progressions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/16x8vss43fz90",
  "venue": "arXiv",
  "versions": []
}