A note on the large values of $|{\zeta }^{(\ell )}(1+\mathrm{i}t)|$

Abstract

We investigate the large values of the derivatives of the Riemann zeta function $\zeta (s)$ on the 1-line. We give a larger lower bound for ${\max }_{t\in [T,2T]}|{\zeta }^{(\ell )}(1+\mathrm{i}t)|$, which improves the previous result established by Yang.

6 pages