A generalization of Sylvester's identity

DOI10.1016/S0012-365X(97)81838-9zbMath0941.05005OpenAlexW2030231365MaRDI QIDQ1377825

Igor Pak, Alexander Postnikov

Publication date: 3 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(97)81838-9

zbMATH Keywords

Euler's and Sylvester's identities for partitions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Related Items (10)

Weighted words at degree two. II: Flat partitions, regular partitions, and application to level one perfect crystals ⋮ The \((k, l)\)-Euler theorem and the combinatorics of \((k, l)\)-sequences ⋮ Partition bijections, a survey ⋮ Weighted forms of Euler's theorem ⋮ The Andrews-Olsson identity and Bessenrodt insertion algorithm on Young walls ⋮ Euler's partition theorem and the combinatorics of \(\ell \)-sequences ⋮ The \(q\)-variations of Sylvester's bijection between odd and strict partitions ⋮ A lecture Hall theorem for \(m\)-falling partitions ⋮ A variant of \texttt{IdentityFinder} and some new identities of Rogers-Ramanujan-MacMahon type ⋮ Euler's partition theorem for all moduli and new companions to Rogers-Ramanujan-Andrews-Gordon identities

Cites Work

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• PIE-sums: A combinatorial tool for partition theory
• ON BASIC HYPERGEOMETRIC SERIES, MOCK THETA FUNCTIONS, AND PARTITIONS (II)
• On the Geometry of Numbers in Elementary Number Theory
• Some New Results on Partitions

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