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math.NT2025
On the uniform distribution modulo of zeros and -points of zeta functions
Hideki Murahara, Tomokazu Onozuka
Fujii gave five sufficient conditions for the uniform distribution modulo of the sequence , where runs over the imaginary parts of the non-trivial zeros of th…
math.NT2025
A note on order estimates of the -analogue of the Riemann zeta function
Hideki Murahara, Tomokazu Onozuka
At the first step of studying order estimates for the -analogue of the Riemann zeta function, we estimate bounds for it on vertical lines for a fixed parameter .
math.NT2025
On the mean values of the Barnes multiple zeta function
Takashi Miyagawa, Hideki Murahara
The asymptotic behavior of the mean values of multiple zeta functions is of significant interest due to its close connection with the Riemann zeta function. In this paper, we estab…