On the Burge correspondence between partitions and binary words
type: Item
instance of: scholarly article
title: On the Burge correspondence between partitions and binary words
zbMATH Open document ID: 0583.10010
DOI: 10.1216/RMJ-1985-15-2-225
published in: Rocky Mountain Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Burge introduced the idea of establishing correspondences between sets of partitions and a certain set of binary words in order to prove the authors' generalizations of Rogers-Ramanujan identities. The number being partitioned corresponding to the major index of the word. The purpose of this paper is to demonstrate how this viewpoint leads to simple proofs of partition identities which on the one side count partitions in which parts are restricted to certain congruence classes. This leads to new identities such as the generalization of Göllnitz-Gordon identities.
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 3933151
zbMATH Keywords: restricted parititons
zbMATH Keywords: Burge correspondence
zbMATH Keywords: identities
zbMATH Keywords: binary words
zbMATH Keywords: major index
zbMATH Keywords: partition identities
zbMATH Keywords: congruence classes
zbMATH Keywords: generalization of Göllnitz-Gordon identities
author: George E. Andrews
author: David M. Bressoud
MaRDI profile type: Publication
full work available at URL: rmj-1985-15-2-225
OpenAlex ID: W2067637264
description: scientific article; zbMATH DE number 3933151