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A Dirichlet character $\chi_1$ of modulus $q_1$ is said to be induced by a Dirichlet character $\chi_2$ of modulus $q_2$ dividing $q_1$ if $\chi_1(m)=\chi_2(m)$ for all $m$ coprime to $q_1$.

A Dirichlet character is primitive if it is not induced by any character other than itself; every Dirichlet character is induced by a uniquely determined primitive Dirichlet character.

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  • Review status: reviewed
  • Last edited by Alina Bucur on 2018-07-04 18:33:11
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