On partition identities
type: Item
instance of: scholarly article
title: On partition identities
zbMATH Open document ID: 1012.33016
author: Pranjal Rajkhowa
published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
publication date: 2003-06-16T00:00:00Z
review text: The author's objective is to show that certain multiple series are expressible in terms of the infinite product \(\prod_{n\in J} (1-q^n)^{-1}\), where the index set \(J\) is \(\mathbb{N}\) minus values congruent with, e.g., \(0,3,12\) modulo 15. The general term of the series contains \(q\)-Pochhammer symbols. The paper may be seen as a continuation of a previous article [Indian J. Pure Appl. Math 31, No. 8, 1059-1079 (2000; Zbl 0982.33008)]; and again, one encounters lack of detail as well as a number of misprints and other typographical shortcomings. The reviewer did retrace some of the steps but he could not possibly be certain about the correctness of the whole paper.
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 33C45
zbMATH DE Number: 1835929
zbMATH Keywords: Rogers-Ramanujan identities
zbMATH Keywords: Jacobi's triple product identity
zbMATH Keywords: basic hypergeometric functions
reviewed by: Per W. Karlsson
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1835929