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https://ah.lib.nccu.edu.tw/handle/140.119/118885| 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: | 七月-2018 | 上傳時間: | 24-七月-2018 | 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: | https://doi.org/10.1016/j.jnt.2018.01.003 |
| Appears in Collections: | 期刊論文 |
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| 229246.pdf | 408.62 kB | Adobe PDF2 | View/Open |
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