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

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.

References in corpus (1)

• A Proof of George Andrews' and Dave Robbins' q-TSPP Conjecture (modulo a finite amount of routine calculations)

Cited by in corpus (10)

• Creative Telescoping for Holonomic Functions
• A dual of MacMahon's theorem on plane partitions
• Hermite Reduction and Creative Telescoping for Hyperexponential Functions
• Advanced Computer Algebra for Determinants
• Inverse Inequality Estimates with Symbolic Computation
• The 1958 Pekeris-Accad-WEIZAC Ground-Breaking Collaboration that Computed Ground States of Two-Electron Atoms (and its 2010 Redux)
• Guessing with Little Data
• A Curious Family of Binomial Determinants That Count Rhombus Tilings of a Holey Hexagon
• Additive Decompositions in Primitive Extensions
• Computation of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Non-central Wishart Matrix