6 citations · 6 across the 16 of their papers we have counts for
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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…
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 .
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…
Ohno relation for regularized refined symmetric multiple zeta values
Minoru Hirose, Hideki Murahara, Shingo Saito
The Ohno relation is one of the most celebrated results in the theory of multiple zeta values, which are iterated integrals from to . In a previous paper, the authors genera…
Asymptotic coefficients of multiple zeta functions at the origin and generalized Gregory coefficients
Toshiki Matsusaka, Hideki Murahara, Tomokazu Onozuka
Due to their singularities, multiple zeta functions behave sensitively at non-positive integer points. In this article, we focus on the asymptotic behavior at the origin $(0,\dots,…
Multiple zeta-star values for indices of infinite length
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
In this paper, we consider infinite-length versions of multiple zeta-star values. We give several explicit formulas for the infinite-length versions of multiple zeta-star values. W…