Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896924 | Journal of Number Theory | 2018 | 18 Pages |
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 αâFqâ such that Dm(α)=Dm(αâ1)=0. We also explore the connections of this question to an open question by Wiedemann and a game called “Button Madness”.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Aart Blokhuis, Xiwang Cao, Wun-Seng Chou, Xiang-Dong Hou,