Analysis of a generalized Lebesgue identity in Ramanujan's lost notebook

DOI10.1007/s11139-012-9380-zzbMath1256.05011OpenAlexW2083208901MaRDI QIDQ1927659

Krishnaswami Alladi

Publication date: 2 January 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9380-z

zbMATH Keywords

Göllnitz-Gordon partitionsSylvester's identityRamanujan's lost notebookLebesgue identityweighted partition identitiesGauss triangular series identityLebesgue partitionsRamanujan's partial theta seriestwo parameter generalization

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (3)

Variation on a theme of Nathan Fine. New weighted partition identities ⋮ Universal mock theta functions and two-variable Hecke-Rogers identities ⋮ On a Weighted Spin of the Lebesgue Identity

Cites Work

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• A partial theta identity of Ramanujan and its number-theoretic interpretation
• Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
• Partition identities involving gaps and weights. II
• A variation on a theme of Sylvester -- a smoother road to Göllnitz's (Big) theorem
• Partition identities and a continued fraction of Ramanujan
• On a calculus of partition functions
• Some continued fractions of the Rogers-Ramanujan type
• Two theorems of Gauss and allied identities proved arithmetically
• On Ornstein's isomorphism theorem for Bernoulli shifts
• Partitions with Non-Repeating Odd Parts and Q-Hypergeometric Identities
• A combinatorial correspondence related to Göllnitz’ (big) partition theorem and applications
• Partition identities involving gaps and weights
• Ramanujan's Lost Notebook
• Partitionen mit Differenzenbedingungen.

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