An injection for the Ehrenpreis Rogers-Ramanujan problem
type: Item
instance of: scholarly article
title: An injection for the Ehrenpreis Rogers-Ramanujan problem
zbMATH Open document ID: 0928.11042
author: Kevin W. J. Kadell
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-07-20T00:00:00Z
review text: The author gives an injection from the partitions of an integer \(n\) into parts of the form \(5m+2\) and \(5m+3\) into the partitions of \(n\) into parts of the form \(5m+1\) and \(5m+4\). The problem to determine such an injection was raised by Ehrenpreis and is connected to the Roger-Ramanujan identities. The injection could possibly be usefull for creating a bijection needed in a bijection proof for those identities. The bijection found by Garsia and Milne in their bijective proof of the first Rogers-Ramanujan identity is different from the one that possibly could be obtained from the present injection.
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 1295475
zbMATH Keywords: Ehrenpreis-injection
zbMATH Keywords: injection
zbMATH Keywords: partitions
zbMATH Keywords: Roger-Ramanujan identities
reviewed by: Herman J. Tiersma
MaRDI profile type: Publication
cites work: A Motivated Proof of the Rogers-Ramanujan Identities
cites work: Rogers-Ramanujan identities in the hard hexagon model
cites work: Q3324796
cites work: A Rogers-Ramanujan bijection
description: scientific article; zbMATH DE number 1295475