Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf
Combinatorics
2012-03-14 v1 Discrete Mathematics
Abstract
Wilf's Sixth Unsolved Problem asks for any interesting properties of the set of partitions of integers for which the (nonzero) multiplicities of the parts are all different. We refer to these as \emph{Wilf partitions}. Using to denote the number of Wilf partitions, we establish lead-order asymptotics for .
Keywords
Cite
@article{arxiv.1203.2670,
title = {Partitions with Distinct Multiplicities of Parts: On An "Unsolved Problem" Posed By Herbert Wilf},
author = {James Allen Fill and Svante Janson and Mark Daniel Ward},
journal= {arXiv preprint arXiv:1203.2670},
year = {2012}
}
Comments
6 pages, 1 figure