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Dedekind zeta function
For $K\in \mathsf{Field}_{/ {{\mathbf{Q}}}} $, defined as
\begin{align*}
\zeta_K(s) \coloneqq\sum_{p\in {\left\lvert {\operatorname{Spec}{\mathcal{O}}_K} \right\rvert}}{1\over 1 - \operatorname{Nm}_{K_{/ {{\mathbf{Q}}}} }(p)} = \prod_{a\in \operatorname{Id}({\mathcal{O}}_K)} \qty{\operatorname{Nm}_{K_{/ {{\mathbf{Q}}}} }(a)}^{-s}
\end{align*}
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