Mathematics – Combinatorics
Scientific paper
2011-08-05
Mathematics
Combinatorics
12 pages
Scientific paper
It is a classical result of Harper that the limiting distribution of the number of blocks in partitions of the set $\{1, 2,..., n\}$ is normal. In this paper, using the saddle point method we prove the normality of the limiting distribution of the number of block pairs in set partitions of type $B_n$. Moreover, we obtain that the limiting distribution of the number of block pairs in $B_n$-partitions without zero-block is also normal.
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