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Simultaneous core partitions with nontrivial common divisor

dc.contributor.authorGramain, Jean-Baptiste
dc.contributor.authorNath, Rishi
dc.contributor.authorSellers, James A.
dc.contributor.institutionUniversity of Aberdeen.Mathematical Scienceen
dc.date.accessioned2021-07-23T23:09:09Z
dc.date.available2021-07-23T23:09:09Z
dc.date.embargoedUntil2021-07-24
dc.date.issued2021-12
dc.descriptionAcknowledgements Part of this work was done at the Centre Interfacultaire Bernoulli (CIB), in the École Polytechnique Fédérale de Lausanne (Switzerland), during the Semester Local Representation Theory and Simple Groups. The first two authors are grateful to the CIB for their financial and logistical support. The first author also acknowledges financial support from the Engineering and Physical Sciences Research Council grant Combinatorial Representation Theory EP/M019292/1. The second author was supported by 586 PSC-TRADA-46-493 and thanks George Andrews who supported a visit to Penn State where this research began. The second author also thanks Christopher R. H. Hanusa for helpful conversations on diagrams and references, and notes that some diagrams were made using the ytab package. All of the authors thank the anonymous referee for the careful reading and detailed and helpful suggestions.en
dc.description.statusPeer revieweden
dc.format.extent25
dc.format.extent358664
dc.identifier171437868
dc.identifier9474d35a-1666-4aaf-b4af-c66de2aaf247
dc.identifier85088560336
dc.identifier000552189500006
dc.identifier.citationGramain, J-B, Nath, R & Sellers, J A 2021, 'Simultaneous core partitions with nontrivial common divisor', The Ramanujan Journal, vol. 56, pp. 839–863. https://doi.org/10.1007/s11139-020-00289-4en
dc.identifier.doi10.1007/s11139-020-00289-4
dc.identifier.issn1382-4090
dc.identifier.urihttps://hdl.handle.net/2164/16858
dc.identifier.urlhttps://www.scopus.com/pages/publications/85088560336en
dc.language.isoeng
dc.relation.ispartofThe Ramanujan Journalen
dc.subjectPartitionen
dc.subjectSimultaneous core partitionen
dc.subjectCongruenceen
dc.subjectGenerating functionen
dc.subjectQA Mathematicsen
dc.subjectAlgebra and Number Theoryen
dc.subjectEngineering and Physical Sciences Research Council (EPSRC)en
dc.subjectEP/M019292/1en
dc.subject.lccQAen
dc.titleSimultaneous core partitions with nontrivial common divisoren
dc.typeJournal articleen

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