Solution
= Solution
The <Dedekind zeta function> of $K$ is
$$
\boxed{\zeta_K(s)=
\sum_{0\neq\mathfrak a\subseteq\mathcal O_K}
N(\mathfrak a)^{-s}
=\prod_{\mathfrak p}
(1-N\mathfrak p^{-s})^{-1}}
$$
for $\operatorname{Re}s>1$.
= Solution
The <Dedekind zeta function> of $K$ is
$$
\boxed{\zeta_K(s)=
\sum_{0\neq\mathfrak a\subseteq\mathcal O_K}
N(\mathfrak a)^{-s}
=\prod_{\mathfrak p}
(1-N\mathfrak p^{-s})^{-1}}
$$
for $\operatorname{Re}s>1$.