Shota Inoue

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20222026

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math.NT2025

Explicit extreme values of the argument of the Riemann zeta-function

Shōta Inoue, Hirotaka Kobayashi, Yuichiro Toma

We investigate explicit extreme values of the argument of the Riemann zeta-function in short intervals. As an application, we improve the result of Conrey and Turnage-Butterbaugh c…

math.NT2023

A note on $r$ -gaps between zeros of the Riemann zeta-function

Shōta Inoue

In this note, we prove Selberg's announced result on $r$ -gaps between zeros of the Riemann zeta-function $ζ$ . Our proof uses a result on variations of $ar g ζ$ by Tsang based on Sel…

math.NT2022

Simultaneous large values and dependence of Dirichlet $L$ -functions in the critical strip

Shōta Inoue, Junxian Li

We consider the joint value distribution of Dirichlet $L$ -functions in the critical strip $\frac{1}{2} < σ < 1$ . We show that the values of distinct Dirichlet $L$ -functions are depe…

math.NT2022

Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments

Shōta Inoue

We discuss moments of the Riemann zeta-function in this paper. The purpose of this paper is to give an upper bound of exponential moments of the logarithm of the Riemann zeta-funct…

Explicit extreme values of the argument of the Riemann zeta-function

A note on r-gaps between zeros of the Riemann zeta-function

Simultaneous large values and dependence of Dirichlet L-functions in the critical strip

Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments

A note on $r$ -gaps between zeros of the Riemann zeta-function

Simultaneous large values and dependence of Dirichlet $L$ -functions in the critical strip