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Arithmetic properties of partitions with

✍ Scribed by Michael D. Hirschhorn; James A. Sellers

Publisher: Springer US
Year: 2010
Tongue: English
Weight: 319 KB
Volume: 22
Category: Article
ISSN: 1382-4090
DOI: 10.1007/s11139-010-9225-6

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Partitions of the n-element set are considered. A family of m such partitions is called an (n,m,k)-pamily, if there are two classes for any pair of partitions whose intersection has at least k elements, and any pair of elements is in the same class for at most two partitions. Let f(n,k) denote the m