Infinite divisibility of Smith matrices

DOI10.4064/aa134-4-7zbMath1163.11023arXiv0808.3550OpenAlexW3102343263MaRDI QIDQ3530817

Shao-Fang Hong

Publication date: 20 October 2008

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3550

zbMATH Keywords

infinitely divisiblepositive semidefiniteSmith determinantmultiplicative functionGCD matrix

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)

Related Items (8)

Determinants of Smith matrices on three coprime divisor chains and divisibility ⋮ ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r) ⋮ LU-FACTORIZATIONS OF SYMMETRIC MATRICES WITH APPLICATIONS ⋮ Divisibility of determinants of power GCD matrices and power LCM matrices on finitely many quasi-coprime divisor chains ⋮ Determinants and divisibility of power GCD and power LCM matrices on finitely many coprime divisor chains ⋮ Divisibility among power GCD matrices and among power LCM matrices on two coprime divisor chains ⋮ Divisibility among power GCD matrices and among power LCM matrices on three coprime divisor chains ⋮ A topological approach to divisibility of arithmetical functions and GCD matrices

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