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Monomial functions, normal polynomials and polynomial equations (2212.10115v1)
Published 20 Dec 2022 in math.AC and math.CA
Abstract: In this paper we consider generalized monomial functions $f, g\colon \mathbb{F}\to \mathbb{C}$ (of possibly different degree) that also fulfill [ f(P(x))= Q(g(x)) \qquad \left(x\in \mathbb{F}\right), ] where $P\in \mathbb{F}[x]$ and $Q\in \mathbb{C}[x]$ are given (classical) polynomials.
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