Research: Number Theory

Zeros and Zero-Free Regions of $$\zeta^{(38)}$$

The plot shows the distribution of the zeros of the 38th derivative of the Riemann zeta function on the complex plane with the zero free regions for $$\zeta^{(38)}$$ as described in New Zero-Free Regions for the Derivatives of the Riemann Zeta Function by Thomas Binder, Sebastian Pauli, and Filip Saidak.