On the Distribution of large values of ∣ζ(σ+it)∣|ζ(σ+{\rm i}t)|

preprint2022arXivOpen access

Abstract

We investigate the distribution of large values of the Riemann zeta function ζ(s)ζ(s) in the strip $1/2<\re s<1$. For any fixed $\re s=σ\in(1/2,1)$, we obtain an improved distribution function of large values of ∣ζ(σ+ıt)∣|ζ(σ+ıt)|, holding in the same range as that given by Lamzouri.

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