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Multiplicity and Number of Parts in Overpartitions

✍ Scribed by Sylvie Corteel; Paweł Hitczenko


Publisher
Springer
Year
2004
Tongue
English
Weight
228 KB
Volume
8
Category
Article
ISSN
0218-0006

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📜 SIMILAR VOLUMES


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