English

Proof of George Andrews's and David Robbins's q-TSPP Conjecture

Combinatorics 2015-03-13 v2 Symbolic Computation

Abstract

The conjecture that the orbit-counting generating function for totally symmetric plane partitions can be written as an explicit product formula, has been stated independently by George Andrews and David Robbins around 1983. We present a proof of this long-standing conjecture.

Keywords

Cite

@article{arxiv.1002.4384,
  title  = {Proof of George Andrews's and David Robbins's q-TSPP Conjecture},
  author = {Christoph Koutschan and Manuel Kauers and Doron Zeilberger},
  journal= {arXiv preprint arXiv:1002.4384},
  year   = {2015}
}