Definition: In number theory, a cyclotomic polynomial is a polynomial of degree n (where n > 1) that has integer coefficients and satisfies certain properties. These polynomials are important in various branches of mathematics such as algebraic number theory, modular forms, and Diophantine equations. For example, the cyclotomic polynomial f(z) = z^n - 1 is a primitive nth root of unity, which means it has no other roots except for ±1. It also satisfies certain properties
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