A quartic key identity for a partition theorem of Göllnitz
type: Item
instance of: scholarly article
title: A quartic key identity for a partition theorem of Göllnitz
zbMATH Open document ID: 0930.11075
author: Krishnaswami Alladi
author: George E. Andrews
published in: Journal of Number Theory
publication date: 2000-02-14T00:00:00Z
review text: In a previous paper, the authors and a third collaborator generalized and refined Göllnitz's well-known partition theorem by means of a rather complicated key identity with three indices of summation. In this paper, they use \(q\)-series to prove a related identity with four indices of summation. They also show that Schur's celebrated partition theorem follows from this ``quartic key identity''.
Mathematics Subject Classification ID: 11P83
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 1275044
zbMATH Keywords: Schur's partition theorem
zbMATH Keywords: \(q\)-series
zbMATH Keywords: Göllnitz partition theorem
zbMATH Keywords: quartic key identity
zbMATH Keywords: quartic transformation
reviewed by: Neville Robbins
MaRDI profile type: Publication
full work available at URL: jnth.1998.2335
OpenAlex ID: W2042975281
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cites work: Partitionen mit Differenzenbedingungen.
DOI: 10.1006/JNTH.1998.2335
description: scientific article; zbMATH DE number 1275044