A combinatorial proof of an identity of Ramanujan using tilings

DOI10.1007/S00574-011-0011-XzbMath1237.05019OpenAlexW2064081785MaRDI QIDQ420540

Eduardo C. Stabel

Publication date: 22 May 2012

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-011-0011-x

zbMATH Keywords

combinatorial identitiestilings\(q\)-enumerationRogers-Ramanujan type identitiesweighted tilings

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of tessellation and tiling problems (05B45)

Cites Work

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• Combinatorial proofs of various \(q\)-Pell identities via tilings
• Partition bijections, a survey
• A tiling approach to eight identities of Rogers
• Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
• New proofs of identities of Lebesgue and Göllnitz via tilings
• Tiling proofs of recent sum identities involving Pell numbers

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