On the Andrews-Schur proof of the Rogers-Ramanujan identities

DOI10.1007/S11139-010-9251-4zbMath1218.05010OpenAlexW2078503149MaRDI QIDQ618866

Hei-Chi Chan

Publication date: 17 January 2011

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-010-9251-4

zbMATH Keywords

Rogers-Ramanujan identitiesAndrews-Schur proof

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Uses Software

• RRtools
• recpf

Cites Work

• The Rogers-Ramanujan continued fraction and a new Eisenstein series identity
• A new proof of Ramanujan's modular equation relating \(R(q)\) with \(R(q^{5})\)
• The Rogers-Ramanujan continued fraction
• Cranks and dissections in Ramanujan's lost notebook
• Finite Rogers-Ramanujan type identities
• On Somos' dissection identities
• A new proof of two identities involving Ramanujan's cubic continued fraction
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Some properties of partitions in terms of crank
• Ramanujan’s forty identities for the Rogers-Ramanujan functions
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