Discrete ω-results for the Riemann zeta function

Paolo Minelli; Athanasios Sourmelidis

doi:10.1515/forum-2023-0324

Discrete ω-results for the Riemann zeta function

Paolo Minelli, Athanasios Sourmelidis^*

^*Corresponding author for this work

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

We study lower bounds for the Riemann zeta function ζ (s) along vertical arithmetic progressions in the right-half of the critical strip. We show that the lower bounds obtained in the discrete case coincide, up to the constants in the exponential, with the ones known for the continuous case, that is when the imaginary part of s ranges on a given interval. Our methods are based on a discretization of the resonance method for estimating extremal values of ζ (s).

Original language	English
Journal	Forum Mathematicum
Early online date	3 Sept 2024
DOIs	https://doi.org/10.1515/forum-2023-0324
Publication status	E-pub ahead of print - 3 Sept 2024

Keywords

Riemann zeta function

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1515/forum-2023-0324

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Discrete ω-results for the Riemann zeta function

Abstract

Keywords

ASJC Scopus subject areas

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