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

Keita Nakai

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arXiv · 2308.16396

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

Keita Nakai

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Abstract

In 2017, Garunk\v{s}tis, Laurin\v{c}ikas and Macaitien\.{e} proved the discrete universality theorem for the Riemann zeta-function sifted by the nontrivial zeros of the Riemann zeta-function. This discrete universality has been extended in various zeta-functions and $L$-functions. In this paper, we generalize this discrete universality for Matsumoto zeta-functions.

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Keita Nakai. 2023-08-31. Discrete universality for Matsumoto zeta-functions and the nontrivial zeros of the Riemann zeta-function. https://arxiv.org/abs/2308.16396

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