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March 25th, 2019, 10:36 AM   #1
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Complex polynomials with simple roots problem

What are all the monic polynomials P(X) ∈ C [X], with simple roots such that P(X^n) = ±P(X) P(ζ*X) P (ζ^2*X) …P (ζ^(n-1)*X), where ζ is a primitive n-th root of unity?
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