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The unimodality of the \(r_3\)-crank of 3-regular overpartitions

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Publication:6589627
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DOI10.4134/BKMS.B230269zbMATH Open1545.05019MaRDI QIDQ6589627

Erin Yiying Shen, Robert Xiaojian Hao

Publication date: 20 August 2024

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




zbMATH Keywords

monotonicityunimodalityregular overpartition\(r_l\)-crank


Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Combinatorial inequalities (05A20)


Cites Work

  • Gordon's theorem for overpartitions.
  • Unimodality of the Andrews-Garvan-Dyson cranks of partitions
  • Arithmetic properties of \(l\)-regular overpartitions
  • Singular overpartitions
  • Dyson’s crank of a partition
  • Overpartitions
  • On the number of l-regular overpartitions
  • Some properties of \(p(n),\) the number of partitions of \(n\).







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