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arXiv · 1512.06419

The Number of Zeros of $ζ'(s)$

Fan Ge
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Abstract

Assuming the Riemann Hypothesis, we prove that $$ N_1(T) = \frac{T}{2π}\log \frac{T}{4πe} + O\bigg(\frac{\log T}{\log\log T}\bigg), $$ where $N_1(T)$ is the number of zeros of $ζ'(s)$ in the region $0<\Im s\le T$.

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Fan Ge. 2016-04-14. The Number of Zeros of $ζ'(s)$. https://arxiv.org/abs/1512.06419

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