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The set of Dirichlet characters $\chi\colon\Z\to\C$ of modulus $q$ form a group isomorphic (though not canonically) to $(\Z/q\Z)^\times$, which has order $\varphi(q)$, where $\varphi$ is the Euler function.

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• Review status: reviewed
• Last edited by Alina Bucur on 2018-07-04 21:42:18
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