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arXiv · 1710.02241

A New Proof for a Triple Product Formula for Plane Partitions

Tri Lai
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Abstract

Stanley generalized MacMahon's classical theorem by proving a product formula for the norm-trace generating function for plane partition with unbounded parts. In his recent work on biothorgonal polynomials, Kamioka proved a finite analogue of Stanley's formula for plane partitions with bounded parts (arXiv:1508.01674). In this paper, we use techniques from the enumeration of tilings to give a new proof for Kamioka's formula.

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Tri Lai. 2017-10-06. A New Proof for a Triple Product Formula for Plane Partitions. https://arxiv.org/abs/1710.02241

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