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dc.contributor.authorAndrica, Dorin
dc.contributor.authorBagdasar, Ovidiu
dc.date.accessioned2021-05-28T10:41:17Z
dc.date.available2021-05-28T10:41:17Z
dc.date.issued2021-05-05
dc.identifier.citationAndrica, D., and Bagdasar, O. (2021). 'On k-partitions of multisets with equal sums'. Ramanujan, 55, pp. 421–435.en_US
dc.identifier.issn1382-4090
dc.identifier.doi10.1007/s11139-021-00418-7
dc.identifier.urihttp://hdl.handle.net/10545/625795
dc.description.abstractWe study the number of ordered k-partitions of a multiset with equal sums, having elements α1,…,αn and multiplicities m1,…,mn. Denoting this number by Sk(α1,…,αn;m1,…,mn), we find the generating function, derive an integral formula, and illustrate the results by numerical examples. The special case involving the set {1,…,n} presents particular interest and leads to the new integer sequences Sk(n), Qk(n), and Rk(n), for which we provide explicit formulae and combinatorial interpretations. Conjectures in connection to some superelliptic Diophantine equations and an asymptotic formula are also discussed. The results extend previous work concerning 2- and 3-partitions of multisets.en_US
dc.description.sponsorshipUnitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovariien_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media LLCen_US
dc.relation.urlhttps://link.springer.com/article/10.1007/s11139-021-00418-7#citeasen_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0
dc.subjectAlgebra and Number Theoryen_US
dc.subjectDiscrete Mathematicsen_US
dc.subjectmulti-partitionsen_US
dc.titleOn k-partitions of multisets with equal sumsen_US
dc.typeArticleen_US
dc.identifier.eissn1572-9303
dc.contributor.departmentBabeş-Bolyai University of Cluj-Napoca, Cluj-Napoca, Romaniaen_US
dc.contributor.departmentUniversity of Derbyen_US
dc.identifier.journalThe Ramanujan Journalen_US
dc.identifier.pii418
dc.source.journaltitleThe Ramanujan Journal
dc.source.volume55
dc.source.issue2
dc.source.beginpage421
dc.source.endpage435
dcterms.dateAccepted2021-02-27
refterms.dateFOA2021-05-28T10:41:17Z
dc.author.detail782275en_US


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