Zeros of the derivatives of the Riemann zeta function
The plot shows zeros k of the derivatives $$\zeta^{(k)}(\sigma+it)$$ of the Riemann Zeta functionon the complex plane. In 1965 Spira had already noticed that the zeros of $$\zeta'(s)$$ and $$\zeta”(s)$$ seem to come in pairs, where the zero of $$\zeta”(s)$$ is always located to the right of the zero of… Continue reading…