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The Number of Zeros of $ζ'(s)$

Published 20 Dec 2015 in math.NT | (1512.06419v2)

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

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Authors (1)

  1. Fan Ge 

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