The determinants of GCD matrices

DOI10.1016/0024-3795(90)90012-2zbMath0703.15012OpenAlexW1992588928MaRDI QIDQ915815

Zhongshan Li

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90012-2

zbMATH Keywords

greatest common divisordeterminantGCD matrixEuler functionsfactor closed set

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36)

Related Items (19)

On the factorization of LCM matrices on gcd-closed sets ⋮ Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions ⋮ On Smith's determinant ⋮ Centralizer matrix algebras and symmetric polynomials of partitions ⋮ A determinantal description of GCD-closed sets andk-sets ⋮ Determinant and inverse of join matrices on two sets ⋮ Hyperdeterminants on semilattices ⋮ Matrices associated with arithmetical functions ⋮ An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann zeta function ⋮ Determinant and inverse of meet and join matrices ⋮ On greatest common divisor matrices and their applications ⋮ Higher-dimensional gcd matrices ⋮ On GCD and LCM matrices ⋮ GCD matrices, posets, and nonintersecting paths ⋮ Power GCD Matrices for a UFD ⋮ Matrices associated with multiplicative functions ⋮ Bounds for determinants of matrices associated with classes of arithmetical functions ⋮ On meet matrices on posets ⋮ Some analogues of smith's determinant

Cites Work

• Greatest common divisor matrices
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