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A Dirichlet character is principal (or trivial) if it has order $1$, equivalently, if it is induced by the unique Dirichlet character of modulus 1.

The value of the principal Dirichlet character of modulus $q$ at an integer $n$ is $1$ if $n$ is coprime to $q$ and $0$ otherwise.

Knowl status:
  • Review status: reviewed
  • Last edited by Pascal Molin on 2019-04-30 12:03:55
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