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

[摘要] 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,

[学科分类] 离散数学和组合数学

[关键词] partitions;plane partitions;totally symmetric plane partitions