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On the Multiplicity of Parts in a Random Composition of a Large Integer

โœ Scribed by Hitczenko, Pawel; Savage, Carla D.

Book ID
118199615
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
223 KB
Volume
18
Category
Article
ISSN
0895-4801

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๐Ÿ“œ SIMILAR VOLUMES

On the multiplicity of parts in a random
On the multiplicity of parts in a random partition
โœ Sylvie Corteel; Boris Pittel; Carla D. Savage; Herbert S. Wilf ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 200 KB ๐Ÿ‘ 2 views

Let be a partition of an integer n chosen uniformly at random among all ลฝ . such partitions. Let s be a part size chosen uniformly at random from the set of all part ลฝ . sizes that occur in . We prove that, for every fixed m G 1, the probability that s has ลฝ ลฝ .. multiplicity m in approaches 1r m mq