Extreme values of the Riemann zeta functionat its critical points in the critical strip
Volume 209 / 2023
Acta Arithmetica 209 (2023), 291-318
MSC: Primary 11M26.
DOI: 10.4064/aa220622-23-5
Published online: 12 October 2023
Abstract
We estimate large and small values of $|\zeta (\rho ’)|$, where $\rho ’$ runs over critical points of the zeta function in the right half of the critical strip, that is, the points where $\zeta ’(\rho ’)=0$ and $1/2 \lt \Re \rho ’ \lt 1$.
