On the largest sizes of \((s, qs \pm 1)\)-core partitions with parts of the same parity

DOI10.1007/s11139-022-00696-9zbMath1529.11104OpenAlexW4318539579MaRDI QIDQ6171151

Wu-Xia Ma, Xing-Wang Jiang

Publication date: 17 July 2023

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

Full work available at URL: https://doi.org/10.1007/s11139-022-00696-9

zbMATH Keywords

partitionsorder ideallargest size

Mathematics Subject Classification ID

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

Related Items (1)

Proof of a conjecture of Nath and Sellers on simultaneous core partitions

Cites Work

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• Block inclusions and cores of partitions.
• 4-core partitions and class numbers
• The largest size of an (s,s + 1)-core partition with parts of the same parity

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