A simple combinatorial method for proving Jacobi's identity and its generalizations

DOI10.1007/BF01077322zbMath0604.05004OpenAlexW2011843775MaRDI QIDQ1083450

Z. L. Lejbenzon

Publication date: 1986

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077322

zbMATH Keywords

Jacobi identityformal power seriespartitions of integersparametrizations of couplings

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Formal power series rings (13F25)

Related Items (2)

Partition bijections, a survey ⋮ Particle seas and basic hypergeometric series.

Cites Work

• A direct combinatorial proof of the Jacobi identity
• A Combinatorial Proof of the Triple Product Identity
• An Enumerative Proof of An Identity of Jacobi
• Two Enumerative Proofs of an Identity of Jacobi

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