The nature of partition bijections. I: Involutions
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Publication:1883380
DOI10.1016/j.aam.2003.08.007zbMath1070.11047OpenAlexW2095100220MaRDI QIDQ1883380
Publication date: 12 October 2004
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2003.08.007
Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)
Related Items (6)
Partition congruences by involutions ⋮ The number of equivalence classes arising from partition involutions ⋮ The method of combinatorial telescoping ⋮ Euler's partition theorem and the combinatorics of \(\ell \)-sequences ⋮ Combinatorial proofs of an identity from Ramanujan's lost notebook and its variations ⋮ Geometry and complexity of O'Hara's algorithm
Cites Work
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- Partition bijections, a survey
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- A Rogers-Ramanujan bijection
- A short Rogers-Ramanujan bijection
- A direct combinatorial proof of the Jacobi identity
- An extension of Franklin's bijection
- An involution for the Gauss identity
- Franklin's argument proves an identity of Zagier
- Generalized Rogers-Ramanujan bijections
- Partition congruences by involutions
- On Fine's partition theorems, Dyson, Andrews, and missed opportunities
- Two theorems of Gauss and allied identities proved arithmetically
- Bijecting Euler's Partitions-Recurrence
- An Introduction to Ramanujan's "lost" Notebook
- Partition identities and geometric bijections
- An Enumerative Proof of An Identity of Jacobi
- A Short Proof of an Identity of Euler
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