On the functional graph of $f(X)=X(X^{q-1}-c)^{q+1},$ over quadratic extensions of finite fields
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910569055911936 |
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| author | Aguirre, Josimar J. R. Lemos, Abílio Neumann, Victor G. L. |
| author_facet | Aguirre, Josimar J. R. Lemos, Abílio Neumann, Victor G. L. |
| contents | Let $\mathbb{F}_{q}$ be the finite field with $q$ elements. In this paper we will describe the dynamics of the map $f(X)=X(X^{q-1}-c)^{q+1},$ with $c\in\mathbb{F}_{q}^{\ast},$ over the finite field $\mathbb{F}_{q^2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08957 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the functional graph of $f(X)=X(X^{q-1}-c)^{q+1},$ over quadratic extensions of finite fields Aguirre, Josimar J. R. Lemos, Abílio Neumann, Victor G. L. Number Theory 12E20, 11T06, 05C20 Let $\mathbb{F}_{q}$ be the finite field with $q$ elements. In this paper we will describe the dynamics of the map $f(X)=X(X^{q-1}-c)^{q+1},$ with $c\in\mathbb{F}_{q}^{\ast},$ over the finite field $\mathbb{F}_{q^2}$. |
| title | On the functional graph of $f(X)=X(X^{q-1}-c)^{q+1},$ over quadratic extensions of finite fields |
| topic | Number Theory 12E20, 11T06, 05C20 |
| url | https://arxiv.org/abs/2408.08957 |