A note on the number of \(t\)-core partitions

DOI10.1216/rmjm/1181072212zbMath0852.11055OpenAlexW2026048562MaRDI QIDQ1912642

Ken Ono

Publication date: 5 December 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072212

zbMATH Keywords

Ferrers diagram\(t\)-core partitionshook number

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items

Odd values of the partition function, Congruences for dimensions of spaces of Siegel cusp forms and 4-core partitions, Advances in the Theory of Cores and Simultaneous Core Partitions, Bijections between \(t\)-core partitions and \(t\)-tuples, ``Shafarevich-Tate sets for profinite groups, Explicit bounds for the number of 𝑝-core partitions, Self-conjugate $t$-core partitions and applications, Simultaneous core partitions with nontrivial common divisor, ``Hasse principle for free groups

Cites Work

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• \(E\Upsilon PHKA\)! \(\mathrm{num}=\Delta +\Delta +\Delta\)
• Cranks and t-cores
• Some Congruences for Partitions that are p -Cores
• On the positivity of the number of t-core partitions