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    题名: On the roots of certain Dickson polynomials
    作者: Blokhuis, Aart
    Cao, Xiwang
    Chou, Wun-Seng
    Hou, Xiang-Dong
    Tsai, Yun-Ching
    贡献者: 應數系
    关键词: Absolutely irreducible;Button madness;Dickson polynomials;Fermat number;Finite field;Reciprocal polynomial
    日期: 2018-07
    上传时间: 2018-07-24 17:31:04 (UTC+8)
    摘要: Let n be a positive integer, q=2n, and let Fq be the finite field with q elements. For each positive integer m, let Dm(X) be the Dickson polynomial of the first kind of degree m with parameter 1. Assume that m>1 is a divisor of q+1. We study the existence of α∈Fq⁎ such that Dm(α)=Dm(α−1)=0. We also explore the connections of this question to an open question by Wiedemann and a game called “Button Madness”.
    關聯: Journal of Number Theory,Volume 188, Pages 229-246
    数据类型: article
    DOI 連結: https://doi.org/10.1016/j.jnt.2018.01.003
    DOI: 10.1016/j.jnt.2018.01.003
    显示于类别:[應用數學系] 期刊論文

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