Monomial functions, normal polynomials and polynomial equations
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866916585883566080 |
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| author | Gselmann, Eszter Iqbal, Mehak |
| author_facet | Gselmann, Eszter Iqbal, Mehak |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2212_10115 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Monomial functions, normal polynomials and polynomial equations Gselmann, Eszter Iqbal, Mehak Commutative Algebra Classical Analysis and ODEs 39B55, 39B72 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. |
| title | Monomial functions, normal polynomials and polynomial equations |
| topic | Commutative Algebra Classical Analysis and ODEs 39B55, 39B72 |
| url | https://arxiv.org/abs/2212.10115 |