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If $K$ is a number field of degree $n$ and discriminant $D$, then the root discriminant of $K$ is \[ \textrm{rd}(K) = |D|^{1/n}.\] It gives a measure of the discriminant of a number field which is normalized for the degree. For example, if $K\subseteq L$ are number fields and $L/K$ is unramified, then $\textrm{rd}(K)=\textrm{rd}(L)$.

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  • Review status: reviewed
  • Last edited by David Roberts on 2019-04-30 17:30:47
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