Abstract
We investigate large values of the Riemann zeta function within the critical strip. Let 0<θ<1 be given and let σ∈(1/2,1) be fixed. We prove that for all sufficiently large T,maxTθ≤t≤T|ζ(σ+it)|≥exp(Cσ,θ(logT)1−σ(loglogT)σ), where Cσ,θ is a positive number depending on σ and θ. This improves the previous result of Aistleitner (2016) [1].
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