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

preprint2011arXivOpen access

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.

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