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Divisibility of determinants of least common multiple matrices on GCD-closed sets

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Publication:1879067
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zbMath1160.11316MaRDI QIDQ1879067

Shao-Fang Hong

Publication date: 22 September 2004

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Matrices, determinants in number theory (11C20)


Related Items (6)

Divisibility of determinants of power GCD matrices and power LCM matrices on finitely many quasi-coprime divisor chains ⋮ Divisibility of matrices associated with multiplicative functions ⋮ Determinants and divisibility of power GCD and power LCM matrices on finitely many coprime divisor chains ⋮ On the divisibility of meet and join matrices ⋮ Divisibility properties of power GCD matrices and power LCM matrices ⋮ Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets






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