The Method of Combinatorial Telescoping
Combinatorics
2010-09-17 v2 Number Theory
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 which implies the Rogers-Ramanujan identities.
Cite
@article{arxiv.1001.0312,
title = {The Method of Combinatorial Telescoping},
author = {William Y. C. Chen and Qing-Hu Hou and Lisa H. Sun},
journal= {arXiv preprint arXiv:1001.0312},
year = {2010}
}
Comments
11 pages, 5 figures; to appear in J. Combin. Theory Ser. A