| dc.contributor | 應數系 | |
| dc.creator (作者) | Blokhuis, Aart | en_US |
| dc.creator (作者) | Cao, Xiwang | en_US |
| dc.creator (作者) | Chou, Wun-Seng | en_US |
| dc.creator (作者) | Hou, Xiang-Dong | en_US |
| dc.creator (作者) | Tsai, Yun-Ching | en_US |
| dc.date (日期) | 2018-07 | |
| dc.date.accessioned | 24-Jul-2018 17:31:04 (UTC+8) | - |
| dc.date.available | 24-Jul-2018 17:31:04 (UTC+8) | - |
| dc.date.issued (上傳時間) | 24-Jul-2018 17:31:04 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/118885 | - |
| dc.description.abstract (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”. | en_US |
| dc.format.extent | 418424 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.relation (關聯) | Journal of Number Theory,Volume 188, Pages 229-246 | |
| dc.subject (關鍵詞) | Absolutely irreducible; Button madness; Dickson polynomials; Fermat number; Finite field; Reciprocal polynomial | en_US |
| dc.title (題名) | On the roots of certain Dickson polynomials | en_US |
| dc.type (資料類型) | article | |
| dc.identifier.doi (DOI) | 10.1016/j.jnt.2018.01.003 | |
| dc.doi.uri (DOI) | https://doi.org/10.1016/j.jnt.2018.01.003 | |
