Some generalized Durfee square identities

DOI10.1016/0012-365X(84)90149-3zbMath0547.05009MaRDI QIDQ798659

Ira M. Gessel

Publication date: 1984

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Durfee rectanglesFerrers graphsq-binomial coefficient

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Related Items (3)

Durfee rectangles and the Jacobi triple product identity ⋮ Durfee rectangle identities via symmetric functions ⋮ Lattice paths and the \(q\)-ballot polynomials

Cites Work

• A generalized q-multinomial Vandermonde convolution
• Bender's generalized q-binomial Vandermonde convolution
• A generalized q-binomial Vandermonde convolution
• Two theorems of Gauss and allied identities proved arithmetically
• Notes on plane partitions. I
• On the Geometry of Numbers in Elementary Number Theory
• Generalizations of the Durfee Square

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