Note on the monotonicity of coefficients for some \(q\)-series arising from Ramanujan's lost notebook
type: Item
instance of: scholarly article
title: Note on the monotonicity of coefficients for some \(q\)-series arising from Ramanujan's lost notebook
zbMATH Open document ID: 0955.11026
DOI: 10.1023/A:1009805223167
author: Wen-Chin Liaw
published in: The Ramanujan Journal
publication date: 2001-02-28T00:00:00Z
review text: The author gives a partition-theoretic proof of the non-negativity of the coefficients in the power series expansion of \((q^p;q^p)_{\infty}/(q^r;q^p)_{\infty}(q^{p-r};q^p)_{\infty}\), \(1 \leq r < p\), and uses the crank of vector partitions to prove the almost-increasingness of the coefficients.
Mathematics Subject Classification ID: 11P81
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1406509
zbMATH Keywords: power series expansion
zbMATH Keywords: crank of vector partitions
reviewed by: David M. Bressoud
MaRDI profile type: Publication
full work available at URL: a:1009805223167
OpenAlex ID: W110346139
description: scientific article; zbMATH DE number 1406509