Combinatorial proofs and refinements of three partition theorems of Andrews
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Publication:2689957
DOI10.1007/s11139-022-00607-yOpenAlexW4290420340WikidataQ113900545 ScholiaQ113900545MaRDI QIDQ2689957
Publication date: 14 March 2023
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.02745
Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partition identities; identities of Rogers-Ramanujan type (11P84)
Cites Work
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- Partitions with fixed largest hook length
- An overpartition analogue of \(q\)-binomial coefficients. II: Combinatorial proofs and \((q,t)\)-log concavity
- Partition bijections, a survey
- A tiling approach to eight identities of Rogers
- New proofs of identities of Lebesgue and Göllnitz via tilings
- Basis partitions and Rogers-Ramanujan partitions
- A bijection for Lebesgue's partition identity in the spirit of Sylvester
- Basis partitions
- Gordon's theorem for overpartitions.
- A unifying combinatorial approach to refined little Göllnitz and Capparelli's companion identities
- Partition identities and a continued fraction of Ramanujan
- New polynomial analogues of Jacobi's triple product and Lebesgue's identities
- On double sum generating functions in connection with some classical partition theorems
- Elementary polynomial identities involving \(q\)-trinomial coefficients
- Multi-dimensional \(q\)-summations and multi-colored partitions
- Basis partition polynomials, overpartitions and the Rogers-Ramanujan identities
- Partitions with prescribed hooksets
- A NEW EXPLORATION OF THE LEBESGUE IDENTITY
- Overpartitions
- A multi-dimensional extension of Sylvester’s identity
- Partition Identities for Two-Color Partitions
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