Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.18939

Author: Zhao, Shengbo

Institution: Tongji University

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213501716

Cites: 2

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Related to: 10