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

  • William J. Keith
Keywords: partitions, plane partitions, totally symmetric plane partitions


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.

Author Biography

William J. Keith, CELC, University of Lisbon

Postdoctoral researcher

Centro de Estruturas Lineares e Combinatórias

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