Category:Dirichlet Characters

This category contains results about Dirichlet Characters.
Definitions specific to this category can be found in Definitions/Dirichlet Characters.

Let $q \in \Z_{>1}$.

Let $\paren {\Z / q \Z}$ denote the ring of integers modulo $q$.

Let $G = \paren {\Z / q \Z}^\times$ be the group of units of $\paren {\Z / q \Z}$.

Let $\C^\times$ be the group of units of $\C$.

A Dirichlet character modulo $q$ is a group homomorphism:

$\chi: G \to \C^\times$