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Dedekind zeta function

Unique factorization of nonzero ideals and multiplicativity of the ideal norm give the formal identity
$$
\zeta_K(s)=\prod_{\mathfrak p}
\left(1-N(\mathfrak p)^{-s}\right)^{-1},
$$
where the product ranges over nonzero prime ideals.


Euler product for the Dedekind zeta function

Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 1 / 20H / a / i / Solution

Euler product for the Dedekind zeta function

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Euler product for the Dedekind zeta function

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