Principal character

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Dirichlet principal character

The arithmetic character $\chi_0$ defined by the condition $$ \chi_0(n) = \begin{cases} 1, & (n,D) = 1, \\ 0 & (n,D)>1. \end{cases} $$ where $D$ is a given natural number. Principal characters serve to define the concepts of primitive and imprimitive characters (cf. Dirichlet character).

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Principal character. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by N.G. Chudakov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article