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, w...
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| Published in | Mathematical modelling and analysis Vol. 30; no. 1; pp. 97 - 108 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Vilnius
Vilnius Gediminas Technical University
01.01.2025
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1392-6292 1648-3510 |
| DOI | 10.3846/mma.2025.20817 |
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| 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. |
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| AbstractList | In 2017, Garunkstis, Laurincikas and Macaitiene 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. Keywords: Matsumoto zeta-function; universality; nontrivial zeros. 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. |
| Audience | Academic |
| Author | Nakai, Keita |
| Author_xml | – sequence: 1 givenname: Keita surname: Nakai fullname: Nakai, Keita organization: Graduate school of Mathematics, Nagoya University, Chikusa-Ku, 464-8602 Nagoya, Japan |
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| Cites_doi | 10.3846/mma.2020.10450 10.1007/BFb0060851 10.1142/S1793042122500191 10.1556/012.2020.57.2.1460 10.1070/SM9194 10.1016/j.jmaa.2019.02.047 10.1017/S0004972716000733 10.1007/978-3-030-56402-5 10.1070/IM1975v009n03ABEH001485 10.1007/s10986-022-09568-7 10.1134/S0037446622020069 10.1007/978-94-017-2091-5 10.5565/PUBLMAT_PJTN05_12 10.4064/aa8583-5-2017 10.1007/BFb0097134 10.4064/aa98-4-2 10.1017/9781108888226 10.4064/aa-84-1-1-16 10.1007/BF01224983 10.1142/9789814644938_0004 10.3846/mma.2021.12447 |
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| Copyright | Copyright (c) 2025 The Author(s). Published by Vilnius Gediminas Technical University. COPYRIGHT 2025 Vilnius Gediminas Technical University 2025. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| SubjectTerms | Functions, Zeta Mathematical research Matsumoto zeta-function nontrivial zeros Theorems universality |
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| Title | Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function |
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