| dc.contributor.author | Bringmann, Kathrin | |
| dc.contributor.author | Mahlburg, Karl Eugene | |
| dc.date.accessioned | 2009-11-04T16:43:22Z | |
| dc.date.available | 2009-11-04T16:43:22Z | |
| dc.date.issued | 2009-02 | |
| dc.date.submitted | 2008-10 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/49528 | |
| dc.description.abstract | Higher moments of the partition rank and crank statistics have been studied for their connections to combinatorial objects such as Durfee symbols, as well as for their connections to harmonic Maass forms. This paper proves the first several cases of (and strengthens) a conjecture due to Garvan, which states that the moments of the crank function are always larger than the moments of the rank function. Furthermore, asymptotic estimates for these differences are also proven. | en |
| dc.description.sponsorship | National Security Administration | en |
| dc.description.sponsorship | National Science Foundation | en |
| dc.language.iso | en_US | |
| dc.publisher | American Mathematical Society | en |
| dc.relation.isversionof | http://dx.doi.org/10.1090/S0002-9939-09-09806-2 | en |
| dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en |
| dc.source | Karl Mahlburg | en |
| dc.title | Inequalities Between Ranks and Cranks | en |
| dc.type | Article | en |
| dc.identifier.citation | Bringmann, Kathrin, and Karl Mahlburg. “Inequalities between ranks and cranks.” 137 (2009): 2567-2574. | en |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.approver | Mahlburg, Karl Eugene | |
| dc.contributor.mitauthor | Mahlburg, Karl Eugene | |
| dc.relation.journal | Proceedings of The American Mathematical Society | en |
| dc.eprint.version | Author's final manuscript | |
| dc.type.uri | http://purl.org/eprint/type/SubmittedJournalArticle | en |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en |
| eprint.grantNumber | 6917958 | en |
| eprint.grantNumber | DMS-0757907 | en |
| dspace.orderedauthors | Bringmann, Kathrin; Mahlburg, Karl | en |
| mit.license | PUBLISHER_POLICY | en |
| mit.metadata.status | Complete | |
