Analysis of a generalized Lebesgue identity in Ramanujan's lost notebook
type: Item
instance of: scholarly article
title: Analysis of a generalized Lebesgue identity in Ramanujan's lost notebook
zbMATH Open document ID: 1256.05011
author: Krishnaswami Alladi
published in: The Ramanujan Journal
publication date: 2013-01-02T00:00:00Z
Mathematics Subject Classification ID: 05A17
Mathematics Subject Classification ID: 11P84
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 6120465
zbMATH Keywords: Lebesgue identity
zbMATH Keywords: two parameter generalization
zbMATH Keywords: Ramanujan's lost notebook
zbMATH Keywords: weighted partition identities
zbMATH Keywords: Ramanujan's partial theta series
zbMATH Keywords: Gauss triangular series identity
zbMATH Keywords: Sylvester's identity
zbMATH Keywords: Göllnitz-Gordon partitions
zbMATH Keywords: Lebesgue partitions
MaRDI profile type: Publication
full work available at URL: s11139-012-9380-z
OpenAlex ID: W2083208901
cites work: A combinatorial correspondence related to Göllnitz’ (big) partition theorem and applications
cites work: Partition identities involving gaps and weights
cites work: Partition identities involving gaps and weights. II
cites work: A variation on a theme of Sylvester -- a smoother road to Göllnitz's (Big) theorem
cites work: A partial theta identity of Ramanujan and its number-theoretic interpretation
cites work: Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities
cites work: Partition identities and a continued fraction of Ramanujan
cites work: On a calculus of partition functions
cites work: Two theorems of Gauss and allied identities proved arithmetically
cites work: On Ornstein's isomorphism theorem for Bernoulli shifts
cites work: Q4146776
cites work: Ramanujan's Lost Notebook
cites work: Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
cites work: Partitionen mit Differenzenbedingungen.
cites work: Some continued fractions of the Rogers-Ramanujan type
cites work: Q4040264
DOI: 10.1007/S11139-012-9380-Z
description: scientific article; zbMATH DE number 6120465