The Method of Combinatorial Telescoping
William Y.C. Chen, Qing-Hu Hou, and Lisa H. Sun
Abstract: We present a method for proving q-series identities by combinatorial telescoping, in the sense that one can transform a bijection or a classification of combinatorial objects into a telescoping relation. We shall illustrate this method by giving a combinatorial proof of Watson's identity. The latter implies the Rogers-Ramanujan identities.
AMS Classification: 05A17; 11P83
Keywords: Watson's identity, Sylvester's identity, Rogers-Ramanujan identities, combinatorial telescoping