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Symmetry in maximal $(s-1,s+1)$ cores

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Publication:2830361
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zbMath1351.05020arXiv1411.0339MaRDI QIDQ2830361

Rishi Nath

Publication date: 28 October 2016

Full work available at URL: https://arxiv.org/abs/1411.0339


zbMATH Keywords

curious symmetry


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorics of partially ordered sets (06A07)


Related Items (8)

Johnson's bijections and their application to counting simultaneous core partitions ⋮ On the polynomiality and asymptotics of moments of sizes for random \((n,dn\pm 1)\)-core partitions with distinct parts ⋮ Proof of a conjecture of Nath and Sellers on simultaneous core partitions ⋮ A combinatorial proof of a relationship between maximal \((2k-1,2k+1)\)-cores and \((2k-1,2k,2k+1)\)-cores ⋮ A bijective proof of Amdeberhan's conjecture on the number of \((s, s + 2)\)-core partitions with distinct parts ⋮ Abaci structures of \((s, ms\pm1)\)-core partitions ⋮ On the largest sizes of certain simultaneous core partitions with distinct parts ⋮ Core partitions with distinct parts







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