9 citations · 22 across the 7 of their papers we have counts for
8 papers
An explanation for the similar appearance of two identities involving Dickson polynomials
Antonia W. Bluher
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…
Explicit Artin maps into
Antonia W. Bluher
Let be a subgroup of , where is any prime power, and let such that is a Galois e…
A structure theorem for finite fields
Antonia W. Bluher
We present a new structure theorem for finite fields of odd order that relates multiplicative and additive structure in an interesting way. This theorem has several applications, i…
Permutation properties of Dickson and Chebyshev polynomials and connections to number theory
Antonia W. Bluher
The th Dickson polynomial of the first kind, , is determined by the formula: , where and is an indeterminate.…
New Wilson-like theorems arising from Dickson polynomials
Antonia W. Bluher
Wilson's Theorem states that the product of all nonzero elements of a finite field is . In this article, we define some natural subsets $S \subset {\mathbb F}_q…
A new identity of Dickson polynomials
Antonia W. Bluher
A new polynomial identity is found for Dickson polynomials in characteristic 2. The identity is used to prove that the two polynomials and have the same sp…