Partition congruences by involutions

DOI10.1016/j.ejc.2003.09.018zbMath1068.11067OpenAlexW2048302967MaRDI QIDQ1888290

Christine Bessenrodt, Igor Pak

Publication date: 23 November 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.09.018

zbMATH Keywords

partitionscongruencesFine's theoremFranklin's involutionVahlen's involution

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (11)

The nature of partition bijections. I: Involutions ⋮ Overpartition pairs ⋮ On flushed partitions and concave compositions ⋮ In memoriam: Christine Bessenrodt (1958--2022) ⋮ Overpartitions and Bressoud's conjecture. II ⋮ A Franklin type involution for squares ⋮ Limit shape of minimal difference partitions and fractional statistics ⋮ BIJECTIVE PROOFS OF A THEOREM OF FINE AND RELATED PARTITION IDENTITIES ⋮ A NEW REFINEMENT OF FINE’S PARTITION THEOREM ⋮ The Gaussian coefficients and overpartitions ⋮ On a Weighted Spin of the Lebesgue Identity

Cites Work

• Partition bijections, a survey
• Partitions and indefinite quadratic forms.
• An extension of Franklin's bijection
• Franklin's argument proves an identity of Zagier
• The nature of partition bijections. I: Involutions
• On Fine's partition theorems, Dyson, Andrews, and missed opportunities
• Two theorems of Gauss and allied identities proved arithmetically
• Some New Results on Partitions
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