Abstract:  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.

  AMS Classification:  05A17; 11P83

  Keywords:  Watson's identity, Schur's identity, Rogers-Ramanujan identities, combinatorial telescoping

  Download:   PDF