On the divisibility among power GCD and power LCM matrices on gcd-closed sets

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

Related Items (2)

On a certain determinant for a U.F.D. ⋮ ON THE DIVISIBILITY AMONG POWER LCM MATRICES ON GCD-CLOSED SETS

Cites Work

Divisibility of matrices associated with multiplicative functions
Nonsingularity of matrices associated with classes of arithmetical functions
Arithmetical properties of multiple Ramanujan sums
Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets
On GCD and LCM matrices
On the Bourque-Ligh conjecture of least common multiple matrices
Matrices associated with classes of arithmetical functions
On the factorization of LCM matrices on gcd-closed sets
On a certain arithmetical determinant
Divisibility among power GCD matrices and among power LCM matrices on finitely many coprime divisor chains
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions
Divisibility properties of power GCD matrices and power LCM matrices
Nonsingularity of matrices associated with classes of arithmetical functions on lcm-closed sets
Arithmetical properties of generalized Ramanujan sums
Gcd-closed sets and determinants of matrices associated with arithmetical functions
ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r)
Determinants of multiplicative Toeplitz matrices
Infinite Divisibility of GCD Matrices
Another generalisation of smith's determinant
Matrices associated with arithmetical functions
New results on the value of a certain arithmetical determinant
Factorization of matrices associated with classes of arithmetical functions
ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF RECIPROCAL POWER LCM MATRICES
Divisibility properties of Smith matrices

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