On the multiplicity of parts in a random
✍
Sylvie Corteel; Boris Pittel; Carla D. Savage; Herbert S. Wilf
📂
Article
📅
1999
🏛
John Wiley and Sons
🌐
English
⚖ 200 KB
👁 2 views
Let be a partition of an integer n chosen uniformly at random among all Ž . such partitions. Let s be a part size chosen uniformly at random from the set of all part Ž . sizes that occur in . We prove that, for every fixed m G 1, the probability that s has Ž Ž .. multiplicity m in approaches 1r m mq