On Large Values of $|\zeta (\sigma +\mathrm{i}t)|$

Zikang Dong, Bin Wei

We investigate the extreme values of the Riemann zeta function $\zeta (s)$. On the 1-line, we obtain a lower bound evaluation $$\max_{t\in[1,T]}|ζ(1+ıt)|\ge {\rm e}^γ(\log_2T+\log_3T+c)…