Shōta Inoue

collaborators

2 papers

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

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…

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

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