The rank of a number field $K$ is the size of any set of fundamental units of $K$. It is equal to $r = r_1 + r_2 -1$ where $r_1$ is the number of real embeddings of $K$ into $\C$ and $2r_2$ is the number of complex embeddings of $K$ into $\C.$
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- Last edited by David Roberts on 2019-04-30 17:21:42
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- 2019-04-30 17:21:42 by David Roberts (Reviewed)
- 2018-07-08 01:09:32 by Alina Bucur (Reviewed)