Divisibility among power matrices associated with multiplicative functions

DOI10.1080/03081087.2024.2311257WikidataQ128291643 ScholiaQ128291643MaRDI QIDQ6655457

Publication date: 23 December 2024

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

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

Cites Work

Divisibility of matrices associated with multiplicative functions
Nonsingularity of matrices associated with classes of arithmetical functions
Non-divisibility of LCM matrices by GCD matrices on \(\gcd\)-closed sets
On the divisibility of meet and join matrices
Arithmetical properties of multiple Ramanujan sums
On inverses of GCD matrices associated with multiplicative functions and a proof of the Hong-Loewy conjecture
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 the value of a certain arithmetical determinant.
On a certain arithmetical determinant
Matrices associated with multiplicative functions
Some characterizations of totients
Divisibility among power GCD matrices and among power LCM matrices on finitely many coprime divisor chains
GCD-closed sets and divisibility of Smith matrices
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions
Divisibility among power matrices associated with classes of 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
Semi-multiplicative functions
Arithmetical properties of generalized Ramanujan sums
Notes on the divisibility of GCD and LCM matrices
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
ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES
Factorization of matrices associated with classes of arithmetical functions
On a certain determinant for a U.F.D.
On the divisibility of matrices associated with multiplicative functions
On the divisibility among power GCD and power LCM matrices on gcd-closed sets
ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF RECIPROCAL POWER LCM MATRICES
Divisibility properties of Smith matrices
Divisibility of power LCM matrices by power GCD matrices on gcd-closed sets
ON THE DIVISIBILITY AMONG POWER LCM MATRICES ON GCD-CLOSED SETS

This page was built for publication: Divisibility among power matrices associated with multiplicative functions