A direct combinatorial proof of the Jacobi identity

DOI10.1016/0012-365X(74)90012-0zbMath0292.10014MaRDI QIDQ1211529

John Zolnowsky

Publication date: 1974

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

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Algebraic numbers; rings of algebraic integers (11R04)

Related Items

A simple combinatorial method for proving Jacobi's identity and its generalizations, The nature of partition bijections. I: Involutions, THE QUINTUPLE PRODUCT IDENTITY, Partition bijections, a survey, An involution for Jacobi's identity, Some sieves for partition theory, An invitation to formal power series, A BIJECTIVE PROOF OF THE QUINTUPLE PRODUCT IDENTITY, Simple proofs of identities of MacMahon and Jacobi, Lie algebraic approaches to classical partition identities, Generalized Rogers-Ramanujan bijections, A combinatorial proof of a recurrence relation for the sum of divisors function

Cites Work

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• An Enumerative Proof of An Identity of Jacobi
• Two Enumerative Proofs of an Identity of Jacobi
• Vector Partitions and Combinatorial Identities