Plane partitions. IV: A conjecture of Mills-Robbins-Rumsey
type: Item
instance of: scholarly article
title: Plane partitions. IV: A conjecture of Mills-Robbins-Rumsey
zbMATH Open document ID: 0632.05005
DOI: 10.1007/BF01836165
published in: Aequationes Mathematicae
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/137215
review text: The author proves a conjecture of \textit{W. Mills, D. Robbins} and \textit{H. Rumsey} [Enumeration of a symmetry class of plane partitions (preprint)] related to plane partitions. The conjecture has also appeared as Conjecture 6 in Combinatoire enumerative, Proc. Colloq. Montreal/Can. 1985, Lect. Notes Math. 1234, 285-293 (1976; Zbl 0612.05008). The proof follows the same lines as the author's proof of the Weak Macdonald Conjecture [Invent. Math. 53, 193-225 (1979; Zbl 0421.10011)].
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 33C05
zbMATH DE Number: 4027476
zbMATH Keywords: plane partitions
Wikidata QID: Q123009102
author: George E. Andrews
reviewed by: David M. Bressoud
MaRDI profile type: Publication
cites work: Applications of Basic Hypergeometric Functions
cites work: Plane partitions. III: The weak Macdonald conjecture
cites work: Proof of the Macdonald conjecture
cites work: On the Transformation Theory of Hypergeometric Functions
OpenAlex ID: W2008037274
description: scientific article; zbMATH DE number 4027476