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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Bibliographic Details
Published inMathematical modelling and analysis Vol. 30; no. 1; pp. 97 - 108
Main Author Nakai, Keita
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 01.01.2025
Subjects
Functions, Zeta
Mathematical research
Matsumoto zeta-function
nontrivial zeros
Theorems
universality
Japan
universality
Matsumoto zeta-function
nontrivial zeros
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ISSN1392-6292
1648-3510
DOI10.3846/mma.2025.20817

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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2025.20817