Some composition determinants

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dc.creatorBrunat, J. M.
dc.creatorKrattenthaler, C.
dc.creatorLascoux, A.
dc.creatorMontes, A.
dc.date2005-09-07
dc.date2005-11-02
dc.date.accessioned2026-07-07T06:42:57Z
dc.date.available2026-07-07T06:42:57Z
dc.descriptionWe compute two parametric determinants in which rows and columns are indexed by compositions, where in one determinant the entries are products of binomial coefficients, while in the other the entries are products of powers. These results generalize previous determinant evaluations due to the first and third author [SIAM J. Matrix Anal. Appl. 23 (2001), 459--471] and ["A polynomial generalization of the power-compositions determinant," Linear Multilinear Algebra (to appear)], and they prove two conjectures of the second author ["Advanced determinant calculus: a complement," preliminary version].
dc.descriptionAmS-LaTeX, 9 pages; minor improvements
dc.identifierhttps://arxiv.org/abs/math/0509157
dc.identifierhttp://arxiv.org/abs/math/0509157
dc.identifierLinear Algebra Appl. 416 (2006), 355-364.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102239
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.subjectPrimary 05A19; Secondary 05A10 11C20 15A15
dc.titleSome composition determinants
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