 Quadratic Dedekind zeta factorization (source code)

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= Quadratic Dedekind zeta factorization

For a quadratic field $K$ of discriminant $D$,
$$
\zeta_K(s)=\zeta_{\mathbb Q}(s)L(\chi_D,s),
$$
where $\chi_D(p)$ is $1$, $-1$, or $0$ according as $(p)$ splits, remains prime, or ramifies in $\mathcal O_K$. Comparing the three possible local Euler factors proves the formal identity.

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