Abstract
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 language | English (US) |
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Pages (from-to) | 193-207 |
Number of pages | 15 |
Journal | Annals of Combinatorics |
Volume | 20 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1 2016 |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics