Add to ORKGWe give new descriptions of the factors of Dickson polynomials over finite fields in terms of cyclotomic factors. To do this generalized reciprocal polynomials are introduced and characterized. We also study the factorization of generalized cyclotomic polynomials and their relationship to the factorization of Dickson polynomials
An explicit formula is obtained for the coefficients of the cyclotomic polynomial Fn(x), where n is ...
1 We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractReversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields in terms o...
We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
We give explicit factorizations of $a$-cyclotomic polynomials of order $2^m 3$, $Q_{2^m3,a}(x)$, ove...
Let q be a prime power and let be a finite field with q elements. This paper discusses the explicit ...
AbstractWe describe a reciprocity relation between the prime ideal factorization, and related proper...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, ...
AbstractWe derive the factorizations of the Dickson polynomialsDn(X,a) andEn(X,a), and of the bivari...
We study the explicit factorization of 2nr -th cyclotomic polynomials over finite field Fq where q, ...
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic rec...
An explicit formula is obtained for the coefficients of the cyclotomic polynomial Fn(x), where n is ...
1 We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractReversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields in terms o...
We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
We give explicit factorizations of $a$-cyclotomic polynomials of order $2^m 3$, $Q_{2^m3,a}(x)$, ove...
Let q be a prime power and let be a finite field with q elements. This paper discusses the explicit ...
AbstractWe describe a reciprocity relation between the prime ideal factorization, and related proper...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, ...
AbstractWe derive the factorizations of the Dickson polynomialsDn(X,a) andEn(X,a), and of the bivari...
We study the explicit factorization of 2nr -th cyclotomic polynomials over finite field Fq where q, ...
In [8], we have presented the history of auxiliary primes from Legendre’s proof of the quadratic rec...
An explicit formula is obtained for the coefficients of the cyclotomic polynomial Fn(x), where n is ...
1 We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractReversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a...