On a certain arithmetical determinant
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Publication:1701376
DOI10.1007/s10474-016-0664-4zbMath1399.11082OpenAlexW2536646972MaRDI QIDQ1701376
Zong Bing Lin, Shao-Fang Hong, Shuangnian Hu
Publication date: 22 February 2018
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-016-0664-4
Arithmetic progressions (11B25) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Matrices, determinants in number theory (11C20)
Related Items (7)
Divisibility among determinants of power matrices associated with integer-valued arithmetic functions ⋮ On a certain determinant for a U.F.D. ⋮ Divisibility among power matrices associated with classes of arithmetic functions ⋮ On the divisibility among power GCD and power LCM matrices on gcd-closed sets ⋮ MORE ON A CERTAIN ARITHMETICAL DETERMINANT ⋮ GCD-closed sets and divisibility of Smith matrices ⋮ ON THE DIVISIBILITY AMONG POWER LCM MATRICES ON GCD-CLOSED SETS
Cites Work
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- Multiple gcd-closed sets and determinants of matrices associated with arithmetic functions
- Hyperdeterminants associated with multiple even functions
- Studying the singularity of LCM-type matrices via semilattice structures and their Möbius functions
- On convergence almost everywhere of series of dilated functions
- An arithmetical approach to the convergence problem of series of dilated functions and its connection with the Riemann zeta function
- Arithmetical properties of multiple Ramanujan sums
- Matrices associated with classes of arithmetical functions
- Matrices associated with multiplicative functions
- On a general form of join matrices associated with incidence functions
- Arithmetical properties of generalized Ramanujan sums
- Gcd-closed sets and determinants of matrices associated with arithmetical functions
- Generalized LCM matrices
- ASYMPTOTIC BEHAVIOR OF THE SMALLEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (mod r)
- Determinants of multiplicative Toeplitz matrices
- A Generalization of Smith's Determinant
- Another generalisation of smith's determinant
- ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES
- Infinitely Divisible Matrices
- ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF RECIPROCAL POWER LCM MATRICES
- Diophantine Approximations and Hilbert's Space
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