Skew plane partitions according to the $m$th largest and $m$th smallest parts

Robson da Silva; Almir Neto; Kelvin Souza

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arXiv · 1609.05127

Skew plane partitions according to the $m$th largest and $m$th smallest parts

Robson da Silva·Almir Neto·Kelvin Souza

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Abstract

We extend recent results by G. E. Andrews and G. Simay on the $m$th largest and $m$th smallest parts of a partition to the more general context of skew plane partitions. In order to do this, we introduce new objects called skew plane overpartitions.

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Robson da Silva, Almir Neto, Kelvin Souza. 2016-09-16. Skew plane partitions according to the $m$th largest and $m$th smallest parts. https://arxiv.org/abs/1609.05127

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