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arXiv · 1604.04557

Reversed Dickson polynomials of the fourth kind over finite fields

Kaimin Cheng·Shaofang Hong·Xiaoer Qin
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Abstract

In this paper, we obtain several results on the permutational behavior of the reversed Dickson polynomial $D_{n,3}(1,x)$ of the fourth kind over the finite field ${\mathbb F}_{q}$. Particularly, we present the explicit evaluation of the first moment $\sum_{a\in {\mathbb F}_{q}}D_{n,3}(1,a)$.

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Kaimin Cheng, Shaofang Hong, Xiaoer Qin. 2016-04-15. Reversed Dickson polynomials of the fourth kind over finite fields. https://arxiv.org/abs/1604.04557

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