Refinements of the Rogers–Ramanujan Identities

DOI10.1080/10586458.2015.1014076zbMath1323.05018arXiv1410.5803OpenAlexW2107971228MaRDI QIDQ3194577

Kathleen M. O'Hara, Dennis W. Stanton

Publication date: 20 October 2015

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

Full work available at URL: https://arxiv.org/abs/1410.5803

zbMATH Keywords

partition\(q\)-seriesRogers-Ramanujan identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items

Marking and shifting a part in partitions

Cites Work

• A generalization of the Rogers-Ramanujan identities for all moduli
• The Rogers-Ramanujan identities without Jacobi's triple product
• A Rogers-Ramanujan bijection
• Variants of the Rogers-Ramanujan identities
• A combinatorial proof of the Rogers--Ramanujan and Schur identities
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli

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