Shota Inoue

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20232026

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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…

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

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

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