On Fine's partition theorems, Dyson, Andrews, and missed opportunities

DOI10.1007/BF02985633zbMath1483.05011OpenAlexW2082287369MaRDI QIDQ2124365

Igor Pak

Publication date: 9 April 2022

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02985633

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

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The nature of partition bijections. I: Involutions ⋮ Partition congruences by involutions ⋮ Weighted forms of Euler's theorem ⋮ A Franklin type involution for squares ⋮ A combinatorial proof of the Rogers--Ramanujan and Schur identities

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