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A proof of some conjectures of Mao on partition rank inequalities

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Publication:1676104
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DOI10.1007/S11139-016-9789-XzbMath1432.11140arXiv1509.06039OpenAlexW2963755222WikidataQ123357437 ScholiaQ123357437MaRDI QIDQ1676104

Ethan Alwaise, Holly Swisher, Elena Iannuzzi

Publication date: 3 November 2017

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06039


zbMATH Keywords

partitionsranksrank differences


Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)


Related Items (3)

New equalities and inequalities for the ranks and cranks of partitions ⋮ Asymptotic formulas related to the \(M_2\)-rank of partitions without repeated odd parts ⋮ Ranks of overpartitions: asymptotics and inequalities




Cites Work

  • Unnamed Item
  • Ranks of partitions modulo 10
  • \(M_2\)-rank differences for partitions without repeated odd parts
  • The \(M_{2}\)-rank of partitions without repeated odd parts modulo 6 and 10
  • M2-rank differences for overpartitions
  • RANK DIFFERENCES FOR OVERPARTITIONS
  • Some Properties of Partitions




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