AbstractLet S = {x1, x2, …, xn} be an ordered set of distinct positive integers and [S] the GCD matrix defined on S. The value of the determinant of [S] is obtained. It is shown that det[S] = ϕ(x1)ϕ(x2)⋯ϕ(xn iff S is factor closed
AbstractLet e and n be positive integers and S={x1,…,xn} a set of n distinct positive integers. For ...
summary:Let $S=\lbrace x_1,\dots ,x_n\rbrace $ be a set of $n$ distinct positive integers and $e\ge ...
Abstract. We show that with any finite partially ordered set P (which need not be a lattice) one can...
AbstractLet S={x1, x2,…, xn} be a set of distinct positive integers. Then n × n matrix [S]=(Sij), wh...
AbstractLet S = {x1, x2, …, xn} be an ordered set of distinct positive integers and [S] the GCD matr...
AbstractWe evaluate the higher-dimensional determinants of the greatest-common-divisor matrix define...
Copyright © 2013 HAN Haiqing and ZHU Siru. This is an open access article distributed under the Crea...
Let S = {x1, x2, ..., xn} be a set of n distinct positive integers. The matrix [S] = (sij) having th...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix having the greatest com...
AbstractWe give a brief review of papers relating to Smith's determinant and point out a common stru...
AbstractLet be an arithmetical function and S = x1, xn a set of distinct positive integers. Let ((xi...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. Let f be an arithmetical function....
AbstractLet a,b and n be positive integers and the set S={x1,…,xn} of n distinct positive integers b...
AbstractLet C={1,2,…,m} and f be a multiplicative function such that (f∗μ)(k)>0 for every positive i...
summary:A set $\mathcal{S}=\lbrace x_1,\ldots ,x_n\rbrace $ of $n$ distinct positive integers is sai...
AbstractLet e and n be positive integers and S={x1,…,xn} a set of n distinct positive integers. For ...
summary:Let $S=\lbrace x_1,\dots ,x_n\rbrace $ be a set of $n$ distinct positive integers and $e\ge ...
Abstract. We show that with any finite partially ordered set P (which need not be a lattice) one can...
AbstractLet S={x1, x2,…, xn} be a set of distinct positive integers. Then n × n matrix [S]=(Sij), wh...
AbstractLet S = {x1, x2, …, xn} be an ordered set of distinct positive integers and [S] the GCD matr...
AbstractWe evaluate the higher-dimensional determinants of the greatest-common-divisor matrix define...
Copyright © 2013 HAN Haiqing and ZHU Siru. This is an open access article distributed under the Crea...
Let S = {x1, x2, ..., xn} be a set of n distinct positive integers. The matrix [S] = (sij) having th...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix having the greatest com...
AbstractWe give a brief review of papers relating to Smith's determinant and point out a common stru...
AbstractLet be an arithmetical function and S = x1, xn a set of distinct positive integers. Let ((xi...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. Let f be an arithmetical function....
AbstractLet a,b and n be positive integers and the set S={x1,…,xn} of n distinct positive integers b...
AbstractLet C={1,2,…,m} and f be a multiplicative function such that (f∗μ)(k)>0 for every positive i...
summary:A set $\mathcal{S}=\lbrace x_1,\ldots ,x_n\rbrace $ of $n$ distinct positive integers is sai...
AbstractLet e and n be positive integers and S={x1,…,xn} a set of n distinct positive integers. For ...
summary:Let $S=\lbrace x_1,\dots ,x_n\rbrace $ be a set of $n$ distinct positive integers and $e\ge ...
Abstract. We show that with any finite partially ordered set P (which need not be a lattice) one can...
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