Proof of a Conjecture of Chan, Robbins, and Yuen
Combinatorics
2007-05-23 v2
Abstract
Using the celebrated Morris Constant Term Identity, we deduce a recent conjecture of Chan, Robbins, and Yuen (math.CO/9810154), that asserts that the volume of a certain -dimensional polytope is given by the product of the first n-1 Catalan numbers.
Cite
@article{arxiv.math/9811108,
title = {Proof of a Conjecture of Chan, Robbins, and Yuen},
author = {Doron Zeilberger},
journal= {arXiv preprint arXiv:math/9811108},
year = {2007}
}
Comments
1 page (plain TeX), proves a conjecture raised in math.CO/9810154. This version also sketches the proofs of conjs. 2 and 3