The 2-adic valuation of plane partitions and totally symmetric plane partitions
The electronic journal of combinatorics, Tome 19 (2012) no. 1
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.
DOI :
10.37236/2064
Classification :
05A15, 11B75
Mots-clés : partitions, plane partitions, totally symmetric plane partitions
Mots-clés : partitions, plane partitions, totally symmetric plane partitions
Affiliations des auteurs :
William J. Keith  1
@article{10_37236_2064,
author = {William J. Keith},
title = {The 2-adic valuation of plane partitions and totally symmetric plane partitions},
journal = {The electronic journal of combinatorics},
year = {2012},
volume = {19},
number = {1},
doi = {10.37236/2064},
zbl = {1244.05017},
url = {http://geodesic.mathdoc.fr/articles/10.37236/2064/}
}
William J. Keith. The 2-adic valuation of plane partitions and totally symmetric plane partitions. The electronic journal of combinatorics, Tome 19 (2012) no. 1. doi: 10.37236/2064
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