Plane partitions VI: Stembridge's TSPP theorem

George E. Andrews, Peter Paule, Carsten Schneider

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We provide a new proof of Stembridge's theorem which validated the Totally Symmetric Plane Partitions (TSPP) Conjecture. The overall strategy of our proof follows the same general pattern of determinant evaluation as discussed by the first named author in a series of papers. The resulting hypergeometric multiple sum identities turn out to be quite complicated. Their correctness is proved by applying new algorithmic methods from symbolic summation.

Original languageEnglish (US)
Pages (from-to)709-739
Number of pages31
JournalAdvances in Applied Mathematics
Volume34
Issue number4 SPEC. ISS.
DOIs
StatePublished - May 2005

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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