Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

In 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function. This discrete universality has been extended to various zeta-functions and L-functions. In this paper, we generalize this discrete universality for Matsumoto zeta-functions.

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Publication Details

Journal
Mathematical Modelling and Analysis
Published
2025-01-27
DOI
https://doi.org/10.3846/mma.2025.20817
Primary Topic
Analytic Number Theory Research
Type
article
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article

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

Keita Nakai
Mathematical Modelling and Analysis
Analytic Number Theory Research
article

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

Keita Nakai
article en

Abstract

In 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function. This discrete universality has been extended to various zeta-functions and L-functions. In this paper, we generalize this discrete universality for Matsumoto zeta-functions.

Mathematical Modelling and AnalysisVol. 30(1)
Nagoya University (JP)
Openalex Percentile: Top 97%
Analytic Number Theory Research
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Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function — Keita Nakai · Mathematical Modelling and Analysis (2025) | TGRS Research Map | TGRS