A REMARK ON TAIL DISTRIBUTIONS OF PARTITION RANK AND CRANK

DOI10.1017/S000497271500088XzbMath1341.11056MaRDI QIDQ2786574

Byungchan Kim

Publication date: 15 February 2016

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

zbMATH Keywords

momentsinteger partitionspartition crankpartition rank

Mathematics Subject Classification ID

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

Cites Work

• On the distribution of the \textsf{spt}-crank
• Asymptotics for \(q\)-expansions involving partial theta functions
• Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank
• Relations between the ranks and cranks of partitions
• The odd moments of ranks and cranks
• Dyson’s crank of a partition
• Asymptotic inequalities for positive crank and rank moments

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