Cyclotomic Polynomials

Appropriate Level:  Abstract Algebra

The Question:  Recall that the cyclotomic polynomials \Phi _n (x) are defined for n \geq 1 so that \prod_{d|n} \Phi_d (x) = x^n -1.  Is it true that every coefficient of every cyclotomic polynomial is either 0, 1, or -1?

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About Aaron

I like good math problems.
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