The 2-adic valuation of plane partitions and totally symmetric partitions

Details The 2-adic valuation of plane partitions and totally symmetric partitions The 2-adic valuation of plane partitions and totally symmetric partitions

2011-03-02

arxiv.org/abs/1103.0331v1

Mathematics

Combinatorics

10 pages, 6 figures

Scientific paper

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.

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