On greatest common divisor matrices and their applications

DOI10.1016/0024-3795(91)90051-WzbMath0754.15012MaRDI QIDQ1181834

B. V. Rajarama Bhat

Publication date: 27 June 1992

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

zbMATH Keywords

Möbius functiondeterminantGCD matrixEuler's totient functiongreatest common divisor matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Arithmetic functions; related numbers; inversion formulas (11A25) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

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Cites Work

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• The determinants of GCD matrices
• Greatest common divisor matrices
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• Patterns in Linear Algebra
• The Lattice Point Covering Theorem for Rectangles