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The Typical Growth of thekth Excess in a Random Integer Partition

โœ Scribed by Ljuben R. Mutafchiev

Book ID
106198144
Publisher
Springer Vienna
Year
2002
Tongue
English
Weight
121 KB
Volume
136
Category
Article
ISSN
0026-9255

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On the multiplicity of parts in a random
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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