The First Positive Rank and Crank Moments for Overpartitions

George Andrews, Song Heng Chan, Byungchan Kim, Robert Osburn

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In 2003, Atkin and Garvan initiated the study of rank and crank moments for ordinary partitions. These moments satisfy a strict inequality. We prove that a strict inequality also holds for the first rank and crank moments of overpartitions and consider a new combinatorial interpretation in this setting.

Original languageEnglish (US)
Pages (from-to)193-207
Number of pages15
JournalAnnals of Combinatorics
Issue number2
StatePublished - Jun 1 2016

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics


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