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PreprintCC BY 4.0arXiv

Ω-results for the logarithmic derivative of ζ(s) on vertical homogeneous progressions

  • Shengbo Zhao
Open at sourcePDFDOICite

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.

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Cite

BibTeXRIS
BibTeX
@misc{zhao2026ωresults,
  title = {{$Ω$-results for the logarithmic derivative of $ζ(s)$ on vertical homogeneous progressions}},
  author = {Shengbo Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18939},
  eprint = {2609.18939},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18939},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Ω-results for the logarithmic derivative of ζ(s) on vertical homogeneous progressions
AU  - Shengbo Zhao
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.18939
UR  - https://arxiv.org/abs/2609.18939
AB  - 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.
ER  -