AbstractLet Fq be a finite field with q elements and let Fq∗ be the multiplicative group of Fq. In this paper we shall proveTheorem. If q − 1 = q1r1…qmrm, q⩾24m, in particular q>1.16×1018, then for any integer s with s>1 and every βϵFq∗, αiϵFq∗ (i=1, …, s), there exist s primitive elements x1, …, xs of Fq, where α1x1 + … + αsxs = β
On the factors Φ(jδ/m) of the period polynomial for finite fields by S. Gurak (San Diego, CA) 1. Int...
In this paper, we establish some finiteness results about the multiplicative dependence of rational ...
The celebrated Primitive Normal Basis Theorem states that for any n≥ 2 and any finite field Fq, ther...
Abstract. For a large prime p, a rational function ψ ∈ Fp(X) over the finite field Fp of p elements,...
Notes for a talk given at LSBU on 7 September 2007 Finite fields Fq is the finite field of q element...
Let Fq be the finite field of characteristic p with q elements and Fqn its extension of degree n. Th...
AbstractLet q be a power of 2, n be a positive integer, and let Fqn be the finite field with qn elem...
In the [25], it had been proven that the Integers modulo p, in this article we shall refer as Z/pZ, ...
For qq an odd prime power with q>169,q>169, we prove that there are always three consecutive primiti...
AbstractLet F be a finite field, and φ: F∗ → E a surjective group homomorphism from the multiplicati...
AbstractLet GF(q) denote the finite field of order q, a power of a prime p, and m a positive integer...
AbstractA lower bound is computed for the number of elements of a finite field F represented by a1x1...
We establish new results about the frequency of small gaps between the elements of multiplicative su...
This paper is a summary of some papers [4,5,6] such that using special commutative group algebras, w...
Summary. In the [16] has been proven that the multiplicative group Z/pZ∗ is a cyclic group. Likewise...
On the factors Φ(jδ/m) of the period polynomial for finite fields by S. Gurak (San Diego, CA) 1. Int...
In this paper, we establish some finiteness results about the multiplicative dependence of rational ...
The celebrated Primitive Normal Basis Theorem states that for any n≥ 2 and any finite field Fq, ther...
Abstract. For a large prime p, a rational function ψ ∈ Fp(X) over the finite field Fp of p elements,...
Notes for a talk given at LSBU on 7 September 2007 Finite fields Fq is the finite field of q element...
Let Fq be the finite field of characteristic p with q elements and Fqn its extension of degree n. Th...
AbstractLet q be a power of 2, n be a positive integer, and let Fqn be the finite field with qn elem...
In the [25], it had been proven that the Integers modulo p, in this article we shall refer as Z/pZ, ...
For qq an odd prime power with q>169,q>169, we prove that there are always three consecutive primiti...
AbstractLet F be a finite field, and φ: F∗ → E a surjective group homomorphism from the multiplicati...
AbstractLet GF(q) denote the finite field of order q, a power of a prime p, and m a positive integer...
AbstractA lower bound is computed for the number of elements of a finite field F represented by a1x1...
We establish new results about the frequency of small gaps between the elements of multiplicative su...
This paper is a summary of some papers [4,5,6] such that using special commutative group algebras, w...
Summary. In the [16] has been proven that the multiplicative group Z/pZ∗ is a cyclic group. Likewise...
On the factors Φ(jδ/m) of the period polynomial for finite fields by S. Gurak (San Diego, CA) 1. Int...
In this paper, we establish some finiteness results about the multiplicative dependence of rational ...
The celebrated Primitive Normal Basis Theorem states that for any n≥ 2 and any finite field Fq, ther...
DOI
Add to ORKG