Plane partitions VI: Stembridge's TSPP theorem

被引：21

作者：

Andrews, GE

Paule, P

Schneider, C

机构：

[1] Johannes Kepler Univ Linz, Symbol Computat Res Inst, A-4040 Linz, Austria

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

ADVANCES IN APPLIED MATHEMATICS | 2005年 / 34卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.aam.2004.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：709 / 739

页数：31

共 24 条

[1] RATIONAL SOLUTIONS OF LINEAR-DIFFERENTIAL AND DIFFERENCE-EQUATIONS WITH POLYNOMIAL COEFFICIENTS [J].