THERE DOES NOT EXIST AN ODD SINGULAR NUMBER OF THE FORM plqr
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Publication:3521579
DOI10.1142/S1793557108000084zbMath1190.11019OpenAlexW2053157319WikidataQ114071694 ScholiaQ114071694MaRDI QIDQ3521579
Publication date: 26 August 2008
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557108000084
Determinants, permanents, traces, other special matrix functions (15A15) Arithmetic functions; related numbers; inversion formulas (11A25) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)
Related Items (4)
ASYMPTOTIC BEHAVIOR OF LARGEST EIGENVALUE OF MATRICES ASSOCIATED WITH COMPLETELY EVEN FUNCTIONS (MOD r) ⋮ 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 ⋮ Divisibility properties of power LCM matrices by power GCD matrices on gcd-closed sets
Cites Work
- Nonsingularity of matrices associated with classes of arithmetical functions
- On GCD and LCM matrices
- On the Bourque-Ligh conjecture of least common multiple matrices
- Matrices associated with classes of arithmetical functions
- Notes on Hong's conjectures of real number power LCM matrices
- Arithmetical properties of generalized Ramanujan sums
- Nonsingularity of least common multiple matrices on gcd-closed sets
- Gcd-closed sets and determinants of matrices associated with arithmetical functions
- Determinants of multiplicative Toeplitz matrices
- On Nonsingular Power LCM Matrices
- On Hong’s conjecture for power LCM matrices
- A Generalization of Smith's Determinant
- ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES
- Elementary Methods in Number Theory
- Diophantine Approximations and Hilbert's Space
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