nth Roots of Unity (ω_k = e^(2πik/n), k = 0,,n−1)
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ω_k = e^(2πik/n), k = 0,…,n−1
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Positive integer |
| Sum | 1 + ω + ω² + … + ω^(n−1) = 0 for n > 1 if ω is primitive |
| ω_k | The n distinct nth roots of 1 |
When to use this
Solutions of z^n = 1. Vertices of regular n-gon on unit circle starting at 1.