Enumeration formulas for Young tableaux in a diagonal strip

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dc.creatorBaryshnikov, Yuliy
dc.creatorRomik, Dan
dc.date2007-09-04
dc.date.accessioned2026-07-07T08:27:33Z
dc.date.available2026-07-07T08:27:33Z
dc.descriptionWe derive combinatorial identities, involving the Bernoulli and Euler numbers, for the numbers of standard Young tableaux of certain skew shapes. This generalizes the classical formulas of D. Andre on the number of up-down permutations. The analysis uses a transfer operator approach extending the method of Elkies, combined with an identity expressing the volume of a certain polytope in terms of a Schur function.
dc.description32 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0709.0498
dc.identifierhttp://arxiv.org/abs/0709.0498
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137311
dc.subjectCombinatorics
dc.subject05E10; 05A15; 05A19; 82B23
dc.titleEnumeration formulas for Young tableaux in a diagonal strip
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