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On the Bourque–Ligh Conjecture of Least Common Multiple Matrices

✍ Scribed by Shaofang Hong

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
100 KB
Volume
218
Category
Article
ISSN
0021-8693

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📜 SIMILAR VOLUMES

Nonsingularity of least common multiple
Nonsingularity of least common multiple matrices on gcd-closed sets
✍ Shaofang Hong 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 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 × 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