Please use this identifier to cite or link to this item:
https://hdl.handle.net/10356/84095| Title: | The First Positive Rank and Crank Moments for Overpartitions | Authors: | Andrews, George Chan, Song Heng Kim, Byungchan Osburn, Robert |
Keywords: | Overpartitions Ranks |
Issue Date: | 2016 | Source: | Andrews, G., Chan, S. H., Kim, B., & Osburn, R. (2016). The First Positive Rank and Crank Moments for Overpartitions. Annals of Combinatorics, 20(2), 193-207. | Series/Report no.: | Annals of Combinatorics | 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. | URI: | https://hdl.handle.net/10356/84095 http://hdl.handle.net/10220/42952 |
ISSN: | 0218-0006 | DOI: | 10.1007/s00026-016-0306-0 | Schools: | School of Physical and Mathematical Sciences | Rights: | © 2016 Springer International Publishing. This is the author created version of a work that has been peer reviewed and accepted for publication by Annals of Combinatorics, Springer International Publishing. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s00026-016-0306-0]. | Fulltext Permission: | open | Fulltext Availability: | With Fulltext |
| Appears in Collections: | SPMS Journal Articles |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| The First Positive Rank and Crank Moments for Overpartitions.pdf | 270.98 kB | Adobe PDF |  View/Open |
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