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More cranks andt-cores

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Publication:2730739
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DOI10.1017/S0004972700019481zbMath0985.11050MaRDI QIDQ2730739

Frank G. Garvan

Publication date: 23 May 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)


zbMATH Keywords

number of partitions\(t\)-corescranksRamanujan's partition congruences


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)


Related Items (9)

On the asymptotic distribution of cranks and ranks of cubic partitions ⋮ New congruences for \(t\)-core partitions and Andrews' singular overpartitions ⋮ The cranks for 5-core partitions ⋮ Arithmetic density and new congruences for \(3\)-core partitions ⋮ On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo 5 and generalizations ⋮ On \(t\)-core towers and \(t\)-defects of partitions ⋮ The BG-rank of a partition and its applications ⋮ Partitions and McKay numbers for \(S_n\) ⋮ On simultaneous \(s\)-cores/\(t\)-cores



Cites Work

  • Cranks and t-cores
  • Dyson’s crank of a partition
  • Some Properties of Partitions
  • Unnamed Item
  • Unnamed Item


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