On the largest size of a partition that is both \(s\)-core and \(t\)-core

DOI10.1016/j.jnt.2008.08.009zbMath1221.05023OpenAlexW1990306193MaRDI QIDQ1024546

Amitabha Tripathi

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.08.009

zbMATH Keywords

partition\(t\)-corehook\(t\)-abacushook numberstructure number

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (8)

Johnson's bijections and their application to counting simultaneous core partitions ⋮ The Raney numbers and \((s,s+1)\)-core partitions ⋮ Advances in the Theory of Cores and Simultaneous Core Partitions ⋮ Bijections between \(t\)-core partitions and \(t\)-tuples ⋮ Minimal partitions with a given \(s\)-core and \(t\)-core ⋮ Sizes of simultaneous core partitions ⋮ Average size of a self-conjugate $(s,t)$-core partition ⋮ On the enumeration of \((s, s + 1, s + 2)\)-core partitions

Cites Work

• On simultaneous \(s\)-cores/\(t\)-cores
• A trinomial analogue of Bailey's lemma and \(N=2\) superconformal invariance
• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• Block inclusions and cores of partitions.
• On Sums of Positive Integers That Are Not of the Form ax + by
• When is a 𝑝-block a 𝑞-block?
• The Hook Graphs of the Symmetric Group
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