An explanation for the similar appearance of two identities involving Dickson polynomials

TL;DR

This paper explores why two different polynomial identities involving Dickson polynomials look similar in characteristic 2, providing an explanation for their resemblance.

Contribution

It offers a theoretical explanation for the similar forms of two identities involving Dickson polynomials in characteristic 2.

Findings

Identifies the underlying reason for the similarity of the identities

Clarifies the role of characteristic 2 in these polynomial identities

Provides insight into the structure of Dickson polynomial identities

Abstract

This article explains the similar appearance of two polynomial identities involving Dickson polynomials in char. 2, one found by Abhyankar, Cohen, and Zieve, and the other found by the author.