AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be distinct primes. Put y1=p1p2,y2=p1p3,y3=p2p3,z=p1p2p3,A={(t1,t2)∈Fqy1×Fqy2|Fq(t1)=Fqy1,Fq(t2)=Fqy2,Fq(t1t2)≠Fqz}.We express the number of elements in A in terms of q, p1, p2, p3
AbstractLet Fq denote the finite field of q elements, q an odd prime power, and let f(x)=xn+∑i=1nfix...
Given a field F and elements \alpha and \beta not in F, then F(\alpha, \beta) is the smallest field ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a line...
AbstractLetΓbe a finitely generated subgroup of Q* with rankr. We study the size of the order |Γp| o...
AbstractThis paper studies the distinctness problem of the reductions modulo 2 of maximal length seq...
AbstractA characterization of primitive polynomials, among irreducible polynomials, over a finite fi...
AbstractConsider an extension field Fqm=Fq(α) of the finite field Fq. Davenport proved that the set ...
Given a field F and elements α and β not in F, then F(α, β) is the smallest field containing α,β, an...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractExplicit expressions for the (n+ 1) primitive idempotents inFG(the group algebra of the cycl...
AbstractLet q be a power of 2, n be a positive integer, and let Fqn be the finite field with qn elem...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a l...
AbstractLet Fq denote the finite field of q elements, q an odd prime power, and let f(x)=xn+∑i=1nfix...
Given a field F and elements \alpha and \beta not in F, then F(\alpha, \beta) is the smallest field ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
AbstractLet Fr denote a finite field with r elements. Let q be a power of a prime, and p1,p2, p3 be ...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a line...
AbstractLetΓbe a finitely generated subgroup of Q* with rankr. We study the size of the order |Γp| o...
AbstractThis paper studies the distinctness problem of the reductions modulo 2 of maximal length seq...
AbstractA characterization of primitive polynomials, among irreducible polynomials, over a finite fi...
AbstractConsider an extension field Fqm=Fq(α) of the finite field Fq. Davenport proved that the set ...
Given a field F and elements α and β not in F, then F(α, β) is the smallest field containing α,β, an...
AbstractLet r = pλ, K = Fr(t), f be an irreducible monic polynomial in Fr[t], K(Λf) the cyclotomic f...
AbstractExplicit expressions for the (n+ 1) primitive idempotents inFG(the group algebra of the cycl...
AbstractLet q be a power of 2, n be a positive integer, and let Fqn be the finite field with qn elem...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a l...
AbstractLet Fq denote the finite field of q elements, q an odd prime power, and let f(x)=xn+∑i=1nfix...
Given a field F and elements \alpha and \beta not in F, then F(\alpha, \beta) is the smallest field ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
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