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dc.contributor.authorZanello, Fabrizio
dc.contributor.authorStanley, Richard P
dc.date.accessioned2017-01-12T15:22:03Z
dc.date.available2017-01-12T15:22:03Z
dc.date.issued2015-03
dc.date.submitted2013-12
dc.identifier.issn0895-4801
dc.identifier.issn1095-7146
dc.identifier.urihttp://hdl.handle.net/1721.1/106353
dc.description.abstractA 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.isoen_US
dc.publisherSociety for Industrial and Applied Mathematicsen_US
dc.relation.isversionofhttp://dx.doi.org/10.1137/130950318en_US
dc.rightsArticle 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.sourceSIAMen_US
dc.titleThe Catalan Case of Armstrong's Conjecture on Simultaneous Core Partitionsen_US
dc.typeArticleen_US
dc.identifier.citationStanley, 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 Mathematicsen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorStanley, Richard P
dc.relation.journalSIAM Journal on Discrete Mathematicsen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsStanley, Richard P.; Zanello, Fabrizioen_US
dspace.embargo.termsNen_US
dc.identifier.orcidhttps://orcid.org/0000-0003-3123-8241
mit.licensePUBLISHER_POLICYen_US


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