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<h1 align=center> Dedekind zeta functions
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Let $K$ be a number field (ie, a finite extension of the rationals $\mathbb Q$),
with ring of integers ${{\mathcal O}_K}$.
The Dedekind zeta function of $K$ is given by
$$
\zeta_K(s)=\sum_{\mathfrak a} (N{\mathfrak a})^{-s} ,
$$
for $\sigma>1$,
where the sum is over all integral ideals of ${{\mathcal O}_K}$,
and $N{\mathfrak a}$ is the norm of $\mathfrak a$.\begin{rawhtml}
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Back to the 
<a href="http://www.aimath.org/WWN/rh/"> main index</a> 
for The Riemann Hypothesis.
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