The method of combinatorial telescoping

We present a method for proving q-series identities by combinatorial telescoping in the sense that one can transform a bijection or classification of combinatorial objects into a telescoping relation. We shall demonstrate this idea by giving a combinatorial reasoning of Watson’s identity which implies the Rogers-Ramanujan identities. Keywords. Watson’s identity, Schur’s identity, Rogers-Ramanujan identities, combinatorial telescoping AMS Subject Classification. 05A17; 11P83

• Type: Journal
• Year: 2011
• Where: JCT
• Authors: William Y. C. Chen, Qing-Hu Hou, Lisa H. Sun
• Keywords: Combinatorial, Combinatorial Telescoping Ams, JCT 2011, Rogers-Ramanujan Identities