2 research outputs found
Identically Distributed Pairs of Partition Statistics
We show that many theorems which assert that two kinds of partitions of the
same integer are equinumerous are actually special cases of a much stronger
form of equality. We show that in fact there correspond partition statistics
and that have identical distribution functions. The method is an
extension of the principle of sieve-equivalence, and it yields simple criteria
under which we can infer this identity of distribution functions