The method of combinatorial telescoping

DOI10.1016/j.jcta.2010.08.009zbMath1232.05021arXiv1001.0312OpenAlexW2018126270MaRDI QIDQ2431252

William Y. C. Chen, Qing-Hu Hou, Lisa Hui Sun

Publication date: 11 April 2011

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

Full work available at URL: https://arxiv.org/abs/1001.0312

zbMATH Keywords

Rogers-Ramanujan identitiesSylvester's identitycombinatorial telescopingWatson's identity

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30)

Related Items (3)

Combinatorial telescoping for an identity of Andrews on parity in partitions ⋮ Nearly self-conjugate integer partitions ⋮ Chasing after cancellations: Revisiting a classic identity that implies the Rogers–Ramanujan identities

Cites Work

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• Partition bijections, a survey
• An easy proof of the Rogers-Ramanujan identities
• A Rogers-Ramanujan bijection
• A short Rogers-Ramanujan bijection
• The method of creative telescoping
• Partially ordered sets and the Rogers-Ramanujan identities
• An involution for the Gauss identity
• Generalized Rogers-Ramanujan bijections
• The nature of partition bijections. I: Involutions
• A combinatorial proof for an identity of Gauss
• A combinatorial proof of the Rogers--Ramanujan and Schur identities
• Non-Terminating Basic Hypergeometric Series and the q-Zeilberger Algorithm

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