政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/118885

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 113311/144292 (79%)
Visitors : 50931034 Online Users : 966

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/118885

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/118885

Title:	On the roots of certain Dickson polynomials
Authors:	Blokhuis, Aart Cao, Xiwang Chou, Wun-Seng Hou, Xiang-Dong Tsai, Yun-Ching
Contributors:	應數系
Keywords:	Absolutely irreducible;Button madness;Dickson polynomials;Fermat number;Finite field;Reciprocal polynomial
Date:	2018-07
Issue Date:	2018-07-24 17:31:04 (UTC+8)
Abstract:	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”.
Relation:	Journal of Number Theory,Volume 188, Pages 229-246
Data Type:	article
DOI link:	https://doi.org/10.1016/j.jnt.2018.01.003
DOI:	10.1016/j.jnt.2018.01.003
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

Files in This Item:

File	Description	Size	Format
229246.pdf		408Kb	Adobe PDF2	431	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...