A New Proof for a Triple Product Formula for Plane Partitions
Combinatorics
2017-10-09 v1
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.
Keywords
Cite
@article{arxiv.1710.02241,
title = {A New Proof for a Triple Product Formula for Plane Partitions},
author = {Tri Lai},
journal= {arXiv preprint arXiv:1710.02241},
year = {2017}
}
Comments
13 pages. The initial version, comments are welcome