A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan

DOI10.1007/s11139-009-9188-7zbMath1218.05017OpenAlexW1989805138MaRDI QIDQ618848

Krishnaswami Alladi

Publication date: 17 January 2011

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

Full work available at URL: https://doi.org/10.1007/s11139-009-9188-7

zbMATH Keywords

partitions into distinct partsRamanujan's lost notebookHeine's transformationpartial theta identityweighted partition identities

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Related Items (11)

Variants of classical \(q\)-hypergeometric identities and partition implications ⋮ Partial theta functions and mock modular forms as \(q\)-hypergeometric series ⋮ Some combinatorial and analytical identities ⋮ The leading root of the partial theta function ⋮ Untrodden pathways in the theory of the restricted partition function \(p(n,N)\) ⋮ On the Andrews-Warnaar identities for partial theta functions ⋮ A Franklin type involution for squares ⋮ A partial theta identity of Ramanujan and its number-theoretic interpretation ⋮ Mock and mixed mock modular forms in the lower half-plane ⋮ A bijective proof of a false theta function identity from Ramanujan's lost notebook ⋮ An extension of the Andrews-Warnaar partial theta function 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
• Partition identities involving gaps and weights
• Ramanujan's Lost Notebook

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