Counting zeros of the Riemann zeta function

2021/07/14 by Hasanalizade, Elchin, Shen, Quanli, Wong, Peng-Jie · 3 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2107.06506

Abstract

In this article, we show that | N (T) - (T)/( 2 π) log ( (T)/(2πe)) | ≤ 0.1038 log T + 0.2573 loglog T + 9.3675 where N(T) denotes the number of non-trivial zeros ρ, with 0

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• Note on the positivity of the real part of the log-derivative of the Riemann ξ-function near the critical line

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