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arXiv 1604.04557math.NT
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有限域上第四类逆Dickson多项式

Reversed Dickson polynomials of the fourth kind over finite fields

Kaimin Cheng, Shaofang Hong, Xiaoer Qin

摘要:

本文得到了有限域${\mathbb F}_{q}$上第四类逆Dickson多项式$D_{n,3}(1,x)$的置换行为的几个结果。特别地,我们给出了一阶矩$\sum_{a\in {\mathbb F}_{q}}D_{n,3}(1,a)$的显式计算.

英文摘要:

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 $\sum_{a\in {\mathbb F}_{q}}D_{n,3}(1,a)$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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