The Method of Combinatorial Telescoping

Details The Method of Combinatorial Telescoping The Method of Combinatorial Telescoping

2010-01-02

arxiv.org/abs/1001.0312v2

Mathematics

Combinatorics

11 pages, 5 figures; to appear in J. Combin. Theory Ser. A

Scientific paper

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
which implies the Rogers-Ramanujan identities.

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