Record Details
Inequalities for positive rank and crank moments of overpartitions
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | Inequalities for positive rank and crank moments of overpartitions |
| Names |
Larsen, Acadia
(creator) Rust, Alexa (creator) Swisher, Holly (creator) |
| Date Issued | 2014-12 (iso8601) |
| Note | This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by the World Scientific Publishing Company and can be found at: http://www.worldscientific.com/worldscinet/ijnt |
| Abstract | In recent work, Andrews, Chan, and Kim extend a result of Garvan about even rank and crank moments of partitions to positive moments. In a similar fashion we extend a result of Mao about even rank moments of overpartitions. We investigate positive Dyson-rank, M₂-rank, first residual crank, and second residual crank moments of overpartitions. In particular, we prove a conjecture of Mao which states that the positive Dyson-rank moments are larger than the positive M₂-rank moments. We also prove some additional inequalities involving rank and crank moments of overpartitions, including an interlacing property. |
| Genre | Article |
| Topic | Partitions |
| Identifier | Larsen, A., Rust, A., & Swisher, H. (2014). Inequalities for positive rank and crank moments of overpartitions. International Journal of Number Theory, 10(08), 2115-2133. doi:10.1142/S1793042114500717 |
