The First Positive Rank and Crank Moments for Overpartitions

• Main Authors: Andrews, George, Chan, Song Heng, Kim, Byungchan, Osburn, Robert
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2017
• Subjects: Overpartitions; Ranks
• Online Access: https://hdl.handle.net/10356/84095; http://hdl.handle.net/10220/42952
• Institution: Nanyang Technological University

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 sett...