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Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
2012 (English)In: The Electronic Journal of Combinatorics, ISSN 1097-1440, E-ISSN 1077-8926, Vol. 19, no 2, P18- p.Article in journal (Refereed) Published
Abstract [en]

Wilf's Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different. We refer to these as Wilf partitions. Using f(n) to denote the number of Wilf partitions,we establish lead-order asymptotics for ln f(n).

Place, publisher, year, edition, pages
2012. Vol. 19, no 2, P18- p.
Keyword [en]
asymptotic enumeration, partitions of integers, Wilf partitions
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-176235ISI: 000304353100001OAI: oai:DiVA.org:uu-176235DiVA: diva2:535225
Available from: 2012-06-19 Created: 2012-06-18 Last updated: 2017-12-07Bibliographically approved

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Janson, Svante

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