The 2-adic valuation of plane partitions and totally symmetric partitions
Combinatorics
2011-03-03 v1
Abstract
This paper confirms a conjecture of Amdeberhan and Moll that the power of 2 dividing the number of plane partitions in an n-cube is greater than the power of 2 dividing the number of totally symmetric plane partitions in the same cube when n is even, and less when n is odd.
Cite
@article{arxiv.1103.0331,
title = {The 2-adic valuation of plane partitions and totally symmetric partitions},
author = {William J. Keith},
journal= {arXiv preprint arXiv:1103.0331},
year = {2011}
}
Comments
10 pages, 6 figures