The major index generating function of standard Young tableaux of shapes of the form "staircase minus rectangle"

zbMath1306.05009arXiv1402.4538MaRDI QIDQ2939675

Michael J. Schlosser, Christian Krattenthaler

Publication date: 22 January 2015

Full work available at URL: https://arxiv.org/abs/1402.4538

zbMATH Keywords

basic hypergeometric series associated to root systemselliptic hypergeometric series associated to root systems

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hypergeometric functions associated with root systems (33C67)

Related Items (10)

Product formulas for standard tableaux of a family of skew shapes ⋮ The determinant of an elliptic sylvesteresque matrix ⋮ Skew shape asymptotics, a case-based introduction ⋮ Determinantal elliptic Selberg integrals ⋮ Bijecting hidden symmetries for skew staircase shapes ⋮ Asymptotics of the number of standard Young tableaux of skew shape ⋮ Product formulas for certain skew tableaux ⋮ Discrete analogues of Macdonald-Mehta integrals ⋮ Bounded Littlewood identities ⋮ Hook formulas for skew shapes. III: Multivariate and product formulas

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