Source: wikibot/principal-root-of-unity
= Principal root of unity
{wiki=Principal_root_of_unity}
The principal root of unity specifically refers to the complex numbers that satisfy the equation \\( z^n = 1 \\) for a positive integer \\( n \\). These roots have the form: \\\[ z_k = e^\{2\\pi i k / n\} \\\] for \\( k = 0, 1, 2, \\ldots, n-1 \\).