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Composition Of Polynomials

Source: KöMaL A. 801

March 24, 2022
komalalgebrapolynomial

Problem Statement

For which values of positive integer mm is it possible to find polynomials P,Q∈C[x]P, Q\in\mathbb{C} [x], with degrees at least two, such that x(x+1)⋯(x+m−1)=P(Q(x)).x(x+1)\cdots(x+m-1)=P(Q(x)).Proposed by Navid Safaei, Tehran
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