Explicit expressions for the expectation, variance and higher moments of the size of a (2n + 1, 2n + 3)-core partition with distinct parts
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Publication:4596587
DOI10.1080/10236198.2017.1318864zbMath1375.05024OpenAlexW2550162783MaRDI QIDQ4596587
Doron Zeilberger, Anthony Zaleski
Publication date: 1 December 2017
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2017.1318864
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Asymptotic enumeration (05A16)
Related Items (12)
On the polynomiality and asymptotics of moments of sizes for random \((n,dn\pm 1)\)-core partitions with distinct parts ⋮ Advances in the Theory of Cores and Simultaneous Core Partitions ⋮ Bijections between \(t\)-core partitions and \(t\)-tuples ⋮ Proof of a conjecture of Nath and Sellers on simultaneous core partitions ⋮ Cores with distinct parts and bigraded Fibonacci numbers ⋮ The maximum hook length of \(d\)-distinct simultaneous core partitions ⋮ A bijective proof of Amdeberhan's conjecture on the number of \((s, s + 2)\)-core partitions with distinct parts ⋮ Sizes of simultaneous core partitions ⋮ On the largest sizes of certain simultaneous core partitions with distinct parts ⋮ Core partitions with distinct parts ⋮ On self-conjugate \((s,s + 1,\dots,s + k)\)-core partitions ⋮ Explicit expressions for the moments of the size of an (n, dn-1)-core partition with distinct parts
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