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arXiv · 2212.10115

Monomial functions, normal polynomials and polynomial equations

Eszter Gselmann·Mehak Iqbal
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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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Eszter Gselmann, Mehak Iqbal. 2022-12-20. Monomial functions, normal polynomials and polynomial equations. https://doi.org/10.1007/s00010-023-00972-z

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