Department of Mathematics and Statistics

Number Theory

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

zeta zerofree

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 in New Zero-Free Regions for the Derivatives of the Riemann Zeta Function by Thomas Binder, Sebastian Pauli, and Filip Saidak.