152 citations · 323 across the 19 of their papers we have counts for
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Small gaps between consecutive zeros of the Riemann zeta-function
Shōta Inoue
In this paper, we introduce the resonance-correlation method to study small gaps between consecutive zeros of the Riemann zeta-function. Our method is based on a synthesis of Montg…
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…
Some explicit formulas for partial sums of Möbius functions
Shōta Inoue
The purpose of this paper is to give some explicit formulas involving Möbius functions, which may be known under the generalized Riemann Hypothesis, but unconditional in this paper…
Relations among Some Conjectures on the Möbius Function and the Riemann Zeta-Function
Shōta Inoue
We discuss the multiplicity of the non-trivial zeros of the Riemann zeta-function and the summatory function of the Möbius function. The purpose of this paper is to consider…
Riesz means of the Dedekind function II
Tetsuya Inaba, Shōta Inoue
Let denote the Dedekind totient function defined by with being the Möbius function. We shall consider the -th Riesz mean of the arith…