AbstractLet |S|=n. The numbers m(n, k)=|{(S1,…,Sk):∪ Si=S and, ∀t∈[1,k], ∪i≠lSi≠S| have been studied previously by Hearne and Wagner. The present paper treats three arrays, m̄(n,k), m̄(n,k), and m̂(n,k), which extend m(n,k) in the sense that m̂(p1⋯ps,k)=m̄(p1⋯ps,k)=m̂(p1⋯ps,k)=m(s,k) for all sequences (p1,…ps) of distinct primes
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractFor s⩾2, t⩾1, let A1,…,At be s-cell partitions of a finite set X. Assume that if x, y ∈ X, x...
AbstractLet I(n, t) be the class of all t -intersecting families of subsets of [ n ] and set Ik(n, t...
AbstractThe paper deals with minimal lattice paths from the origin to a point (n,m) which do not cro...
AbstractLetA be a doubly stochastic matrix of ordern andσ1(A) the sum of the orderi subpermanents of...
AbstractLet n ⩾ k ⩾ t be positive integers, and let Ω be a set of n elements. Let C(n, k, t) denote ...
AbstractIt is shown that if AϵΩn−{Jn} satisfies nkσk(A)⩾(n−k+1)2 σk−1(A) (k=1,2,…,n), where σk(A) de...
In this paper, we investigate the polynomial numerical index (n^{(k)}(l_p),) the symmetric multiline...
AbstractIn this paper we make some remarks on the generalization of Taylor's formula from S. J. Karl...
AbstractA central limit theorem for the numbers A(m, n)⩾0, satisfying a class of triangular arrays, ...
AbstractFor 1 ⩽ p ⩽ ∞, let |A|p = Σi=1mΣj=1n, |αij|p1p, be the lp norm of an m × n complex A = (αij)...
AbstractIn this paper, using transformation of Schur complements of matrices and some estimates of e...
AbstractLet k1 ⩽ k2 ⩽ … ⩽ kn be given positive integers and let F denote the set of vectors (l1, …, ...
AbstractUsing Kummer's criteria we show that if the first case of Fermat's last theorem fails for th...
AbstractLet An = {1,…,n} and let B = {B1,…,Br} where B1,…,Br are subsets of A n, each of size m. We ...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractFor s⩾2, t⩾1, let A1,…,At be s-cell partitions of a finite set X. Assume that if x, y ∈ X, x...
AbstractLet I(n, t) be the class of all t -intersecting families of subsets of [ n ] and set Ik(n, t...
AbstractThe paper deals with minimal lattice paths from the origin to a point (n,m) which do not cro...
AbstractLetA be a doubly stochastic matrix of ordern andσ1(A) the sum of the orderi subpermanents of...
AbstractLet n ⩾ k ⩾ t be positive integers, and let Ω be a set of n elements. Let C(n, k, t) denote ...
AbstractIt is shown that if AϵΩn−{Jn} satisfies nkσk(A)⩾(n−k+1)2 σk−1(A) (k=1,2,…,n), where σk(A) de...
In this paper, we investigate the polynomial numerical index (n^{(k)}(l_p),) the symmetric multiline...
AbstractIn this paper we make some remarks on the generalization of Taylor's formula from S. J. Karl...
AbstractA central limit theorem for the numbers A(m, n)⩾0, satisfying a class of triangular arrays, ...
AbstractFor 1 ⩽ p ⩽ ∞, let |A|p = Σi=1mΣj=1n, |αij|p1p, be the lp norm of an m × n complex A = (αij)...
AbstractIn this paper, using transformation of Schur complements of matrices and some estimates of e...
AbstractLet k1 ⩽ k2 ⩽ … ⩽ kn be given positive integers and let F denote the set of vectors (l1, …, ...
AbstractUsing Kummer's criteria we show that if the first case of Fermat's last theorem fails for th...
AbstractLet An = {1,…,n} and let B = {B1,…,Br} where B1,…,Br are subsets of A n, each of size m. We ...
AbstractThe n-th product level of a skew–field D, psn(D), is a generalization of the n-th level of a...
AbstractFor s⩾2, t⩾1, let A1,…,At be s-cell partitions of a finite set X. Assume that if x, y ∈ X, x...
AbstractLet I(n, t) be the class of all t -intersecting families of subsets of [ n ] and set Ik(n, t...
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