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,...
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Vilnius Gediminas Technical University
2025-01-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://gc.vgtu.lt/index.php/MMA/article/view/20817 |
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| author | Keita Nakai |
| author_facet | Keita Nakai |
| author_sort | Keita Nakai |
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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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| format | Article |
| id | doaj-art-4f64de9107014c04b2edbe008f72bc16 |
| institution | Kabale University |
| issn | 1392-6292 1648-3510 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj-art-4f64de9107014c04b2edbe008f72bc162025-01-27T16:30:18ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102025-01-0130110.3846/mma.2025.20817Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-functionKeita Nakai0Graduate school of Mathematics, Nagoya University, Chikusa-Ku, 464-8602 Nagoya, Japan 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. https://gc.vgtu.lt/index.php/MMA/article/view/20817Matsumoto zeta-functionuniversalitynontrivial zeros |
| spellingShingle | Keita Nakai Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function Mathematical Modelling and Analysis Matsumoto zeta-function universality nontrivial zeros |
| title | Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function |
| title_full | Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function |
| title_fullStr | Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function |
| title_full_unstemmed | Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function |
| title_short | Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function |
| title_sort | discrete universality theorem for matsumoto zeta functions and nontrivial zeros of the riemann zeta function |
| topic | Matsumoto zeta-function universality nontrivial zeros |
| url | https://gc.vgtu.lt/index.php/MMA/article/view/20817 |
| work_keys_str_mv | AT keitanakai discreteuniversalitytheoremformatsumotozetafunctionsandnontrivialzerosoftheriemannzetafunction |