A cyclotomic identity refers to mathematical relationships involving cyclotomic polynomials, which are a special type of polynomial related to the roots of unity. The \(n\)th roots of unity are the complex solutions to the equation \(x^n = 1\), and they are represented as the complex numbers \(e^{2\pi i k/n}\) for \(k = 0, 1, 2, \ldots, n-1\).
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