On Smith's determinant
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Publication:1359193
DOI10.1016/S0024-3795(96)00192-9zbMath0883.15002OpenAlexW1969921015MaRDI QIDQ1359193
Pentti Haukkanen, Juha Sillanpää, Jun Wang
Publication date: 22 March 1998
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0024-3795(96)00192-9
posetsSmith's determinantcounterexamplesleast common multiple matrixgreatest common divisor matricesmeet matrices
Determinants, permanents, traces, other special matrix functions (15A15) Matrices of integers (15B36) Matrices, determinants in number theory (11C20)
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Cites Work
- The determinants of GCD matrices
- Introduction to arithmetical functions
- Greatest common divisor matrices
- On greatest common divisor matrices and their applications
- Higher-dimensional gcd matrices
- On GCD and LCM matrices
- Matrices associated with classes of arithmetical functions
- Arithmetical properties of generalized Ramanujan sums
- A Generalization of Smith's Determinant
- Another generalisation of smith's determinant
- A determinantal description of GCD-closed sets andk-sets
- Matrices associated with arithmetical functions
- The Theory of Multiplicative Arithmetic Functions
- Determinants on Semilattices
- A Tauberian Theorem and Analogues of the Prime Number Theorem
- Hadamard determinants Möbius functions, and the chromatic number of a graph
- Bivariate function algebras on Posets.
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