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Proof of George Andrews’s and David Robbins’s q -TSPP conjecture

2011; National Academy of Sciences; Volume: 108; Issue: 6 Linguagem: Inglês

10.1073/pnas.1019186108

1091-6490

Christoph Koutschan, Manuel Kauers, Doron Zeilberger,

Advanced Mathematical Identities

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.