Moments about the mean of the size of a self-conjugate \((s, t)\)-core partition

DOI10.1016/j.disc.2018.07.006zbMath1395.05022OpenAlexW2887229251MaRDI QIDQ1783616

Larry X. W. Wang, Joseph L. P. Wang, Jane Y. X. Yang

Publication date: 21 September 2018

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

Full work available at URL: https://doi.org/10.1016/j.disc.2018.07.006

zbMATH Keywords

lattice pathEhrhart theory\((s, t)\)-coreEuler-Maclaurin theoryself-conjugate partition

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)

Sizes of simultaneous core partitions

Uses Software

• Maple
• stCore

Cites Work

• Unnamed Item
• Results and conjectures on simultaneous core partitions
• Simultaneous core partitions: parameterizations and sums
• Self-conjugate simultaneous \(p\)- and \(q\)-core partitions and blocks of \(A_n\)
• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• Armstrong's conjecture for \((k, m k + 1)\)-core partitions
• Abacus models for parabolic quotients of affine Weyl groups
• Strange expectations and simultaneous cores
• Block inclusions and cores of partitions.
• Average size of a self-conjugate $(s,t)$-core partition
• Computing the Continuous Discretely
• The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions
• Polynomials Associated with Finite Gell-Complexes

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