Combinatorial proofs of two theorems related to the number of even parts in all partitions of \(n\) into distinct parts

DOI10.1007/s11139-019-00184-7zbMath1462.05027OpenAlexW2982227476WikidataQ113900583 ScholiaQ113900583MaRDI QIDQ829863

Mircea Merca, Cristina M. Ballantine

Publication date: 6 May 2021

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

Full work available at URL: https://doi.org/10.1007/s11139-019-00184-7

zbMATH Keywords

combinatorial identityEuler's partition identity

Mathematics Subject Classification ID

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

Related Items (3)

The dual form of Beck type identities ⋮ On identities of Watson type ⋮ On the combinatorics of the number of even parts in all partitions with distinct parts

Cites Work

• Partition bijections, a survey
• Combinatorial proofs of two Euler-type identities due to Andrews
• On the number of even parts in all partitions of \(n\) into distinct parts

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