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A Dirichlet character $\chi: \Z\to \C$ has a modulus $n$ such that $\chi$ is induced from a function $\chi:\Z/n\Z\to \C$. It gives a homomorphism $(\Z/n\Z)^\times\to \C^\times$. The underlying unit group is $(\Z/n\Z)^\times$, the group of units of the ring $\Z/n\Z$.

Knowl status:
  • Review status: reviewed
  • Last edited by Alina Bucur on 2018-07-04 21:51:17
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