On the number of irreducible polynomials of special kinds in finite fields
Let $\mathbb{F}_q$ be the finite field of order $q$ and $f(x)$ be an irreducible polynomial of degree $n$ over $\mathbb{F} _q$. For a positive divisor $n_1$ of $n$, define the $n_1$-traces of $f(x)$ to be $\mathrm{Tr}(\alpha;n_1)=\alpha+\alpha^q+\cdots+\alpha^{q^{n_1-1}}$ where $\alpha$'s are t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-04-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://aim.633x.cn/article/10.3934/math.2020185/fulltext.html |