A generatingfunctionology approach to a problem of Wilf
classification
🧮 math.CO
keywords
problemchosenrandomlywilfanalysisapproachasymptoticallycomposition
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Wilf posed the following problem: determine asymptotically as $n\to\infty$ the probability that a randomly chosen part size in a randomly chosen composition of n has multiplicity m. One solution of this problem was given by Hitczenko and Savage. In this paper, we study this question using the techniques of generating functions and singularity analysis.
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