Roots of unity are complex numbers that satisfy the equation $x^n = 1$ for a positive integer $n$. These roots represent the solutions to this polynomial equation and are distributed evenly on the unit circle in the complex plane. They connect deeply with concepts of field automorphisms, as each root can be transformed under various automorphisms, illustrating their properties and relationships within fields.
congrats on reading the definition of Roots of Unity. now let's actually learn it.