MORE ON A CERTAIN ARITHMETICAL DETERMINANT

DOI10.1017/S0004972717000788zbMath1432.11030OpenAlexW2766935241MaRDI QIDQ4601164

Siao Hong, Zong Bing Lin

Publication date: 12 January 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972717000788

zbMATH Keywords

Smith determinantarithmetic functionDirichlet convolutionsquarefree integerfactor-closed set

Mathematics Subject Classification ID

Matrices of integers (15B36) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Matrices, determinants in number theory (11C20)

Related Items (3)

Divisibility among determinants of power matrices associated with integer-valued arithmetic functions ⋮ On a certain determinant for a U.F.D. ⋮ Total nonnegativity of GCD matrices and kernels

Cites Work

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• ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r)
• Determinants of multiplicative Toeplitz matrices
• A Generalization of Smith's Determinant
• GCD matrices, posets, and nonintersecting paths

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