Higher-dimensional gcd matrices

DOI10.1016/0024-3795(92)90409-4zbMath0749.15013OpenAlexW2039830626MaRDI QIDQ1190114

Pentti Haukkanen

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90409-4

zbMATH Keywords

arithmetic functionsDirichlet convolutiongreatest-common-divisor matrixhigher-dimensional determinants

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (17)

On the factorization of LCM matrices on gcd-closed sets ⋮ Hyperdeterminants on meet-semilattices ⋮ Divisibility among power matrices associated with arithmetic functions on finitely many quasi-coprime divisor chains ⋮ Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions ⋮ On Smith's determinant ⋮ Hyperdeterminants on semilattices ⋮ Matrices associated with arithmetical functions ⋮ MORE ON A CERTAIN ARITHMETICAL DETERMINANT ⋮ Hyperdeterminants associated with multiple even functions ⋮ Hyperdeterminantal expressions for Jack functions of rectangular shapes ⋮ On GCD and LCM matrices ⋮ Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde ⋮ Arithmetical properties of multiple Ramanujan sums ⋮ On meet hypermatrices and their eigenvalues ⋮ Matrices associated with multiplicative functions ⋮ Some analogues of smith's determinant ⋮ Some properties of row-adjusted meet and join matrices

Cites Work

• The determinants of GCD matrices
• Greatest common divisor matrices
• Another generalisation of smith's determinant
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