AbstractLet S={x1, x2,…, xn} be a set of distinct positive integers. Then n × n matrix [S]=(Sij), where Sij=(xi, xj), the greatest common divisor of xi and xj, is call the greatest common divisor (GCD) matrix on S. We initiate the study of GCD matrices in the direction of their structure, determinant, and arithmetic in Zn. Several open problems are posed
Let S = {x1,x2,...,xn} be a set of positive integers, and let f be an arithmetical func-tion. The ma...
AbstractLet be an arithmetical function and S = x1, xn a set of distinct positive integers. Let ((xi...
summary:A set $\mathcal{S}=\lbrace x_1,\ldots ,x_n\rbrace $ of $n$ distinct positive integers is sai...
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...
Let S = {x1, x2, ..., xn} be a set of n distinct positive integers. The matrix [S] = (sij) having th...
AbstractLet a,b and n be positive integers and the set S={x1,…,xn} of n distinct positive integers b...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix having the greatest com...
AbstractLet e and n be positive integers and S={x1,…,xn} a set of n distinct positive integers. For ...
AbstractWe give a brief review of papers relating to Smith's determinant and point out a common stru...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The n×n matrix having the greatest...
Copyright © 2013 HAN Haiqing and ZHU Siru. This is an open access article distributed under the Crea...
summary:Let $S=\lbrace x_1,\dots ,x_n\rbrace $ be a set of $n$ distinct positive integers and $e\ge ...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. Let f be an arithmetical function....
AbstractLet C={1,2,…,m} and f be a multiplicative function such that (f∗μ)(k)>0 for every positive i...
Let S = {x1,x2,...,xn} be a set of positive integers, and let f be an arithmetical func-tion. The ma...
AbstractLet be an arithmetical function and S = x1, xn a set of distinct positive integers. Let ((xi...
summary:A set $\mathcal{S}=\lbrace x_1,\ldots ,x_n\rbrace $ of $n$ distinct positive integers is sai...
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...
Let S = {x1, x2, ..., xn} be a set of n distinct positive integers. The matrix [S] = (sij) having th...
AbstractLet a,b and n be positive integers and the set S={x1,…,xn} of n distinct positive integers b...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The matrix having the greatest com...
AbstractLet e and n be positive integers and S={x1,…,xn} a set of n distinct positive integers. For ...
AbstractWe give a brief review of papers relating to Smith's determinant and point out a common stru...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. The n×n matrix having the greatest...
Copyright © 2013 HAN Haiqing and ZHU Siru. This is an open access article distributed under the Crea...
summary:Let $S=\lbrace x_1,\dots ,x_n\rbrace $ be a set of $n$ distinct positive integers and $e\ge ...
AbstractLet S={x1,…,xn} be a set of n distinct positive integers. Let f be an arithmetical function....
AbstractLet C={1,2,…,m} and f be a multiplicative function such that (f∗μ)(k)>0 for every positive i...
Let S = {x1,x2,...,xn} be a set of positive integers, and let f be an arithmetical func-tion. The ma...
AbstractLet be an arithmetical function and S = x1, xn a set of distinct positive integers. Let ((xi...
summary:A set $\mathcal{S}=\lbrace x_1,\ldots ,x_n\rbrace $ of $n$ distinct positive integers is sai...
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