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The degree of a Dirichlet character $\chi$ is the degree of its field of values $\Q(\chi(\Z))$.

If $\chi$ has order $n$ then its degree is $\phi(n):=\#(\Z/n\Z)^\times$.

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  • Review status: reviewed
  • Last edited by Andrew Sutherland on 2018-11-05 14:56:26
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