AbstractWe characterize primitive polynomials, among irreducible polynomials, by the number of terms in a certain quotient. We apply this to BCH codes of maximal designed distance
AbstractIn this paper some characterizations of the ratio asymptotics for general polynomials are gi...
AbstractFor each finite field K, we construct a commutative Goldie K-algebra R such that the polynom...
AbstractWe prove, for the first time, a series of four related identities from Ramanujan's lost note...
AbstractFor an odd positive integer n, we determine formulas for the number of irreducible polynomia...
AbstractLet D<0 be the fundamental discriminant of an imaginary quadratic field, and h(D) its class ...
AbstractLet p be a prime number, p⩾5, Z/(pe) the integer residue ring, e⩾2, Γ={0,1,…,p−1}. For a seq...
AbstractWe establish the infinite product expansion for ∑n≧0anqn2. This is a corrected version of th...
AbstractWe prove an asymptotic formula for the number of permutations for which the associated permu...
AbstractIf pk(P) is the number of integer partitions of k⩾1 whose parts lie in P, it is shown that p...
AbstractIn the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for th...
AbstractFor a positive Borel measure dμ, we prove that the constantγn(dν;dμ)≔supπ∈Pn⧹{0}∫−∞∞π2(x)dν(...
AbstractWe establish that the elliptic equation Δu+K(x)up+μf(x)=0 in Rn has infinitely many positive...
AbstractIn this paper, by applying the discharging method, we prove that if G=(V,E) is a Δ-critical ...
AbstractThe present paper is a study of pseudo-Jacobi polynomials which have been defined on the pat...
We extract a paradigm for derandomizing tests for polynomial identities from the recent AKS primalit...
AbstractIn this paper some characterizations of the ratio asymptotics for general polynomials are gi...
AbstractFor each finite field K, we construct a commutative Goldie K-algebra R such that the polynom...
AbstractWe prove, for the first time, a series of four related identities from Ramanujan's lost note...
AbstractFor an odd positive integer n, we determine formulas for the number of irreducible polynomia...
AbstractLet D<0 be the fundamental discriminant of an imaginary quadratic field, and h(D) its class ...
AbstractLet p be a prime number, p⩾5, Z/(pe) the integer residue ring, e⩾2, Γ={0,1,…,p−1}. For a seq...
AbstractWe establish the infinite product expansion for ∑n≧0anqn2. This is a corrected version of th...
AbstractWe prove an asymptotic formula for the number of permutations for which the associated permu...
AbstractIf pk(P) is the number of integer partitions of k⩾1 whose parts lie in P, it is shown that p...
AbstractIn the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for th...
AbstractFor a positive Borel measure dμ, we prove that the constantγn(dν;dμ)≔supπ∈Pn⧹{0}∫−∞∞π2(x)dν(...
AbstractWe establish that the elliptic equation Δu+K(x)up+μf(x)=0 in Rn has infinitely many positive...
AbstractIn this paper, by applying the discharging method, we prove that if G=(V,E) is a Δ-critical ...
AbstractThe present paper is a study of pseudo-Jacobi polynomials which have been defined on the pat...
We extract a paradigm for derandomizing tests for polynomial identities from the recent AKS primalit...
AbstractIn this paper some characterizations of the ratio asymptotics for general polynomials are gi...
AbstractFor each finite field K, we construct a commutative Goldie K-algebra R such that the polynom...
AbstractWe prove, for the first time, a series of four related identities from Ramanujan's lost note...
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