On the multiplicity of parts in a random
โ
Sylvie Corteel; Boris Pittel; Carla D. Savage; Herbert S. Wilf
๐
Article
๐
1999
๐
John Wiley and Sons
๐
English
โ 200 KB
๐ 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