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March 25th, 2019, 09:36 AM  #1 
Newbie Joined: Mar 2019 From: Romania Posts: 3 Thanks: 0  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^(n1)*X), where ζ is a primitive nth root of unity?


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complex, polynomials, problem, roots, simple 
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