The Algorithm Z and Ramanujan's $_1\psi_1$ Summation
Combinatorics
2009-11-09 v1 Classical Analysis and ODEs
Abstract
We use the Algortihm Z on partitions due to Zeilberger, in a variant form, to give a combinatorial proof of Ramanujan's summation formula.
Cite
@article{arxiv.0911.1285,
title = {The Algorithm Z and Ramanujan's $_1\psi_1$ Summation},
author = {Sandy H. L. Chen and William Y. C. Chen and Amy M. Fu and Wenston J. T. Zang},
journal= {arXiv preprint arXiv:0911.1285},
year = {2009}
}
Comments
10 pages