The largest size of an (s,s + 1)-core partition with parts of the same parity

DOI10.1142/S179304212040014XzbMath1471.11257OpenAlexW3042822891MaRDI QIDQ4991702

Hayan Nam, Myungjun Yu

Publication date: 3 June 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304212040014x

zbMATH Keywords

partitionsorder idealcore partitionslargest size

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Elementary theory of partitions (11P81)

Related Items (2)

Proof of a conjecture of Nath and Sellers on simultaneous core partitions ⋮ On the largest sizes of \((s, qs \pm 1)\)-core partitions with parts of the same parity

Cites Work

• Core partitions into distinct parts and an analog of Euler's theorem
• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• Johnson's bijections and their application to counting simultaneous core partitions
• A bijective proof of Amdeberhan's conjecture on the number of \((s, s + 2)\)-core partitions with distinct parts
• On the largest sizes of certain simultaneous core partitions with distinct parts
• Lattice points and simultaneous core partitions
• On the number of simultaneous core partitions with \(d\)-distinct parts
• On the enumeration of \((s, s + 1, s + 2)\)-core partitions
• Block inclusions and cores of partitions.

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