| dc.contributor.author | Zanello, Fabrizio | |
| dc.contributor.author | Stanley, Richard P | |
| dc.date.accessioned | 2017-01-12T15:22:03Z | |
| dc.date.available | 2017-01-12T15:22:03Z | |
| dc.date.issued | 2015-03 | |
| dc.date.submitted | 2013-12 | |
| dc.identifier.issn | 0895-4801 | |
| dc.identifier.issn | 1095-7146 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/106353 | |
| dc.description.abstract | A beautiful recent conjecture of Armstrong predicts the average size of a partition that is simultaneously an s-core and a t-core, where s and t are coprime. Our goal is to prove this conjecture when t = s + 1. These simultaneous (s, s + 1)-core partitions, which are enumerated by
Catalan numbers, have average size (s+1 over 3)/2. | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Society for Industrial and Applied Mathematics | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1137/130950318 | en_US |
| 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_US |
| dc.source | SIAM | en_US |
| dc.title | The Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitions | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Stanley, Richard P., and Fabrizio Zanello. “The Catalan Case of Armstrong’s Conjecture on Simultaneous Core Partitions.” SIAM Journal on Discrete Mathematics 29.1 (2015): 658–666. © 2015 Society for Industrial and Applied Mathematics | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Stanley, Richard P | |
| dc.relation.journal | SIAM Journal on Discrete Mathematics | en_US |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | Stanley, Richard P.; Zanello, Fabrizio | en_US |
| dspace.embargo.terms | N | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0003-3123-8241 | |
| mit.license | PUBLISHER_POLICY | en_US |
| mit.metadata.status | Complete | |
