Identically Distributed Pairs of Partition Statistics

dc.creatorWilf, Herbert S.
dc.date2000-04-28
dc.date.accessioned2026-07-07T04:34:55Z
dc.date.available2026-07-07T04:34:55Z
dc.descriptionWe show that many theorems which assert that two kinds of partitions of the same integer $n$ are equinumerous are actually special cases of a much stronger form of equality. We show that in fact there correspond partition statistics $X$ and $Y$ 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.
dc.identifierhttps://arxiv.org/abs/math/0004180
dc.identifierhttp://arxiv.org/abs/math/0004180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59089
dc.subjectCombinatorics
dc.subject05A17
dc.titleIdentically Distributed Pairs of Partition Statistics
dc.typetext

Files

Collections