Partitions with distinct multiplicities of parts: on an ``unsolved problem'' posed by Herbert Wilf (Q426887)
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scientific article; zbMATH DE number 6045711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partitions with distinct multiplicities of parts: on an ``unsolved problem'' posed by Herbert Wilf |
scientific article; zbMATH DE number 6045711 |
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Partitions with distinct multiplicities of parts: on an ``unsolved problem'' posed by Herbert Wilf (English)
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12 June 2012
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Summary: 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 \(\ln{f(n)}\).
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asymptotic enumeration
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partitions of integers
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Wilf partitions
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