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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/118885

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題名:	On the roots of certain Dickson polynomials
作者:	Blokhuis, Aart Cao, Xiwang Chou, Wun-Seng Hou, Xiang-Dong Tsai, Yun-Ching
貢獻者:	應數系
關鍵詞:	Absolutely irreducible;Button madness;Dickson polynomials;Fermat number;Finite field;Reciprocal polynomial
日期:	2018-07
上傳時間:	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
資料類型:	article
DOI 連結:	https://doi.org/10.1016/j.jnt.2018.01.003
DOI:	10.1016/j.jnt.2018.01.003
顯示於類別:	[應用數學系] 期刊論文

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