  By employing the assessment of the asymptotic size of various sums of G\'{a}l
studied by La Bret\`eche and Tenenbaum, we provide an improvement on the recent
result of A. Bondarenko, P. Darbar, M. V. Hagen, W. Heap, and K. Seip regarding
the large values of the Dedekind zeta-function on the critical line.
Specifically, let $d\geqslant 3$ be an integer and $A$ be a positive constant.
Denoting $K=\mathbb{Q}(\zeta_d)$, we establish that, if $T$ is sufficiently
large, then uniformly for $d \ll (\log\log T)^A$, \begin{equation*} \max_{ t
\in [0,T]}\left|\zeta_K \left(\frac{1}{2}+it \right) \right| \gg
\exp\left({(1+o(1))\varphi(d)} \sqrt{\frac{\log T \log \log \log T}{\log \log
T}} \right). \end{equation*}
