Core Partitions With d-Distinct Parts

zbMath1405.05015arXiv1803.01603MaRDI QIDQ4622597

Murat Sahin

Publication date: 13 February 2019

Full work available at URL: https://arxiv.org/abs/1803.01603

zbMATH Keywords

Young diagrampartition with \(d\)-distinct parts

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17)

Related Items (3)

The maximum hook length of \(d\)-distinct simultaneous core partitions ⋮ Refined counting of core partitions into \(d\)-distinct parts ⋮ On the number of simultaneous core partitions with \(d\)-distinct parts

Cites Work

• Core partitions into distinct parts and an analog of Euler's theorem
• The Raney numbers and \((s,s+1)\)-core partitions
• On the largest size of \((t, t + 1, \ldots, t + p)\)-core partitions
• Results and conjectures on simultaneous core partitions
• Multi-cores, posets, and lattice paths
• A combinatorial proof of a relationship between maximal \((2k-1,2k+1)\)-cores and \((2k-1,2k,2k+1)\)-cores
• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• Core partitions with distinct parts
• Lattice points and simultaneous core partitions
• On the enumeration of \((s, s + 1, s + 2)\)-core partitions
• Block inclusions and cores of partitions.
• Principles of combinatorics
• Cranks and t-cores
• The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions

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