2 citations · 5 across the 6 of their papers we have counts for
9 papers · 1 filter
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…
Joint value distribution of -functions on the critical line
Shōta Inoue, Junxian Li
In this paper, we discuss the joint value distribution of -functions in a suitable class. We obtain joint large deviations results in the central limit theorem for these -fun…
Extreme values for iterated integrals of the logarithm of the Riemann zeta-function
Shōta Inoue
In this paper, we give an approximate formula for the measure of extreme values for the logarithm of the Riemann zeta-function and its iterated integrals. The result recovers the u…
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…
On the logarithm of the Riemann zeta-function and its iterated integrals
Shōta Inoue
This paper gives some results for the logarithm of the Riemann zeta-function and its iterated integrals. We obtain a certain explicit approximation formula for these functions. The…
On the behavior of the logarithm of the Riemann zeta-function
Shota Inoue
The purpose of the present paper is to reveal the relation between the behavior of the logarithm of the Riemann zeta-function and the distribution of zeros of the Riem…