A partial theta identity of Ramanujan and its number-theoretic interpretation

DOI10.1007/s11139-009-9177-xzbMath1225.05025OpenAlexW2081957690MaRDI QIDQ969415

Krishnaswami Alladi

Publication date: 7 May 2010

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

Full work available at URL: https://doi.org/10.1007/s11139-009-9177-x

zbMATH Keywords

weighted partition theorem

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Related Items

Variants of classical \(q\)-hypergeometric identities and partition implications ⋮ Partition implications of a three-parameter \(q\)-series identity ⋮ Analysis of a generalized Lebesgue identity in Ramanujan's lost notebook ⋮ Partial theta functions and mock modular forms as \(q\)-hypergeometric series ⋮ A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan ⋮ Ramanujan's partial theta series and parity in partitions ⋮ On the Andrews-Warnaar identities for partial theta functions ⋮ A Franklin type involution for squares ⋮ Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions ⋮ 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 ⋮ On a Weighted Spin of the Lebesgue Identity

Cites Work

• A combinatorial study and comparison of partial theta identities of Andrews and Ramanujan
• Ramanujan's lost notebook: combinatorial proofs of identities associated with Heine's transformation or partial theta functions
• Ramanujan's Lost Notebook
• The Approximate Solution of Convolution-Type Integral Equations
• Some New Results on Partitions
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