New partition theoretic interpretations of Rogers-Ramanujan identities

DOI10.1155/2012/409505zbMath1258.05007OpenAlexW2021080219WikidataQ58703358 ScholiaQ58703358MaRDI QIDQ446325

A. K. Agarwal, Megha Goyal

Publication date: 6 September 2012

Published in: International Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/409505

zbMATH Keywords

generating functionRogers-Ramanujan identitiesrestricted partition function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

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Cites Work

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• Some Rogers-Ramanujan type partition theorems
• Hook differences and lattice paths
• Some continued fractions of the Rogers-Ramanujan type
• A Combinatorial Generalization of the Rogers-Ramanujan Identities
• Partition Theorems Related to Some Identities of Rogers and Watson
• Further Theorems of the Rogers-Ramanujan Type Theorems^*
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• Partitionen mit Differenzenbedingungen.
• Further Identities of the Rogers-Ramanujan Type