Partitions with fixed largest hook length

DOI10.1007/s11139-016-9868-zzbMath1379.05009arXiv1604.04028OpenAlexW2963817203MaRDI QIDQ682005

Shishuo Fu, Dazhao Tang

Publication date: 13 February 2018

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

Full work available at URL: https://arxiv.org/abs/1604.04028

zbMATH Keywords

Fibonacci numberEuler's pentagonal number theoremEuler's partition theoremRogers-Ramanujan identityRogers-fine identity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

Refinements of Beck-type partition identities ⋮ Combinatorial proofs and refinements of three partition theorems of Andrews ⋮ Combinatorics of integer partitions with prescribed perimeter

Cites Work

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• Core partitions into distinct parts and an analog of Euler's theorem
• Combinatorial proofs of identities in Ramanujan's lost notebook associated with the Rogers-Fine identity and false theta functions
• Structural and enumerative properties of the Fibonacci cubes
• On a partition problem of H. L. Alder
• Two theorems of Gauss and allied identities proved arithmetically
• Partitions with prescribed hooksets
• Proof of the Alder-Andrews conjecture
• Overpartitions
• Partitions with difference conditions and Alder's conjecture

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