New zero-free regions for Dedekind zeta-functions at small and large ordinates

Given a number field $L\mathrm{\ne }\mathbb{Q}$, we obtain new and explicit zero-free regions for Dedekind zeta-functions of $L$, which refine the previous works of Ahn–Kwon, Kadiri, and Lee. In particular, for low-lying zeros, we extend Kadiri’s result to all number fields while improving the main constant.