Explicit zero density estimate for the Riemann zeta-function near the critical line

2019/10/18 by Simonič, Aleksander
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1910.08274

Abstract

In 1946, A. Selberg proved N(σ,T) ≪ T^{1-(1)/(4) (σ-(1)/(2))} logT where N(σ,T) is the number of nontrivial zeros ρ of the Riemann zeta-function with \Re\ρ\>σ and 0

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