Triangular powers of integers from determinants of binomial coefficient matrices

DOI10.1016/S0024-3795(98)10244-6zbMath1057.11503WikidataQ127389609 ScholiaQ127389609MaRDI QIDQ1300851

David E. Rush, Louis J. jun. Ratliff

Publication date: 1999

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

zbMATH Keywords

binomial coefficientVandermonde determinantblock matrixtriangular numberupper-triangular matrix

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Matrices, determinants in number theory (11C20)

Related Items (2)

Discrete $d$-dimensional moduli of smoothness ⋮ A bracket power characterization of analytic spread one ideals

Cites Work

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• The linear algebra of the Pascal matrix
• On the unboundedness of generators of prime ideals in powerseries rings of three variables
• A computation of tight closure in diagonal hypersurfaces
• An extension of the generalized Pascal matrix and its algebraic properties
• Pascal's Matrices
• A bracket power characterization of analytic spread one ideals
• The linear algebra of the generalized Pascal matrix

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