Some sieves for partition theory

DOI10.1016/0097-3165(79)90020-7zbMath0423.10009OpenAlexW2015975214MaRDI QIDQ1134176

Daniel I. A. Cohen

Publication date: 1979

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(79)90020-7

zbMATH Keywords

Rogers-Ramanujan identitiesrestricted partitionsJacobi triple-product identityEuler pentagonal number theorem

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Sieves (11N35)

Related Items (3)

PIE-sums: A combinatorial tool for partition theory ⋮ Bijective proofs of some classical partition identities ⋮ Sieve equivalence in generalized partition theory

Cites Work

• A direct combinatorial proof of the Jacobi identity
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• An Enumerative Proof of An Identity of Jacobi
• Two Enumerative Proofs of an Identity of Jacobi
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