scientific article; zbMATH DE number 5262053
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Publication:5458080
zbMath1228.11154MaRDI QIDQ5458080
Publication date: 10 April 2008
Full work available at URL: https://eudml.org/doc/117005
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Smith's determinantDirichlet convolution\(O\)-estimateGCD matrixLCM matrixmaximum column sum normmaximum row sum normasymptotic behavior of arithmetical functionsEuler totient functions
Arithmetic functions; related numbers; inversion formulas (11A25) Matrices of integers (15B36) Rate of growth of arithmetic functions (11N56) Matrices, determinants in number theory (11C20)
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On the positive definiteness and eigenvalues of meet and join matrices ⋮ Inertia, positive definiteness and \(\ell_p\) norm of GCD and LCM matrices and their unitary analogs ⋮ On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong-Loewy conjecture
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