2 citations · 6 across the 6 of their papers we have counts for
6 papers
Universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function
Kenta Endo
In this paper, we prove the universality theorem for the iterated integrals of the logarithm of the Riemann zeta-function on some line parallel to the real axis.
On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects
Kenta Endo, Shōta Inoue, Masahiro Mine
In this paper, we discuss the value-distribution of the Riemann zeta-function. The authors give some results for the discrepancy estimate and large deviations in the limit theorem…
Effective uniform approximation by -functions in the Selberg class
Kenta Endo
Recently, Garunkštis, Laurinčikas, Matsumoto, J. & R. Steuding showed an effective universality-type theorem for the Riemann zeta-function by using an effective multi-dimensional d…
On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function I: denseness
Kenta Endo, Shota Inoue
We consider iterated integrals of on certain vertical and horizontal lines. Here, the function is the Riemann zeta-function. It is a well known open problem wheth…
Hypergroups and distance distributions of random walks on graphs
Kenta Endo, Ippei Mimura, Yusuke Sawada
Wildberger's construction enables us to obtain a hypergroup from a special graph via random walks. We will give a probability theoretic interpretation to products on the hypergroup…
Real zeros of Hurwitz zeta-functions and their asymptotic behavior in the interval
Kenta Endo, Yuta Suzuki
Let , and be the Hurwitz zeta-function. Recently, T.~Nakamura showed that does not vanish for any if and only if $1/2\leq a \leq…