Definition:Root of Unity

Definition
Let $$n \in \Z$$ be an integer such that $$n > 0$$.

The $$n$$th roots of unity are defined as:


 * $$U_n = \left\{{z \in \C: z^n = 1}\right\}$$

From Roots of Unity we have that:
 * $$U_n = \left\{{e^{2 i k \pi / n}: k \in \N_n}\right\}$$