Divisibility of matrices associated with multiplicative functions
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Publication:641206
DOI10.1016/j.disc.2011.07.015zbMath1261.11031OpenAlexW1981859829MaRDI QIDQ641206
Publication date: 21 October 2011
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.disc.2011.07.015
Arithmetic functions; related numbers; inversion formulas (11A25) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)
Related Items (12)
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions ⋮ Determinants of Smith matrices on three coprime divisor chains and divisibility ⋮ On a certain determinant for a U.F.D. ⋮ Divisibility among power matrices associated with classes of arithmetic functions ⋮ 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 the divisibility among power GCD and power LCM matrices on gcd-closed sets ⋮ Divisibility among power GCD matrices and among power LCM matrices on finitely many coprime divisor chains ⋮ Determinants and divisibility of power GCD and power LCM matrices on finitely many coprime divisor chains ⋮ Non-divisibility of LCM matrices by GCD matrices on \(\gcd\)-closed sets ⋮ GCD-closed sets and divisibility of Smith matrices ⋮ Divisibility of power LCM matrices by power GCD matrices on gcd-closed sets
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