The 2-adic Valuation of Plane Partitions and Totally Symmetric Plane Partitions

William J. Keith

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.

Keywords


partitions, plane partitions, totally symmetric plane partitions

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