On simultaneous \(s\)-cores/\(t\)-cores

DOI10.1016/j.disc.2008.06.024zbMath1189.05019OpenAlexW2108971346MaRDI QIDQ1043618

Lawrence Sze, David Aukerman, Ben Kane

Publication date: 9 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.06.024

zbMATH Keywords

partitionsgenerating functions\(t\)-cores

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Elementary theory of partitions (11P81)

Related Items

Johnson's bijections and their application to counting simultaneous core partitions, Advances in the Theory of Cores and Simultaneous Core Partitions, Simultaneous core partitions: parameterizations and sums, A combinatorial proof of a relationship between maximal \((2k-1,2k+1)\)-cores and \((2k-1,2k,2k+1)\)-cores, The \(t\)-core of an \(s\)-core, Average size of a self-conjugate $(s,t)$-core partition, Lattice points and simultaneous core partitions, Simultaneous core partitions with nontrivial common divisor, On the largest size of a partition that is both \(s\)-core and \(t\)-core, Core partitions and block coverings, When does the set of \((a, b, c)\)-core partitions have a unique maximal element?

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