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Divisibility of power LCM matrices by power GCD matrices on gcd-closed sets

โœ Scribed by Zhao, Jianrong

Book ID
126583381
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
189 KB
Volume
62
Category
Article
ISSN
0308-1087

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๐Ÿ“œ SIMILAR VOLUMES

Nonsingularity of least common multiple
Nonsingularity of least common multiple matrices on gcd-closed sets
โœ Shaofang Hong ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 183 KB

Let n be a positive integer. Let S = {x 1 , . . . , x n } be a set of n distinct positive integers. The least common multiple (LCM) matrix on S, denoted by [S], is defined to be the n ร— n matrix whose (i, j )-entry is the least common multiple [x i , x j ] of x i and x j . The set S is said to be gc