|Journal of Integer Sequences, Vol. 7 (2004), Article 04.1.3|
An integer partition corresponds, via its Ferrers diagram, to an artinian monomial ideal with . If corresponds to an integrally closed ideal we call it concave . We study generating functions for the number of concave partitions, unrestricted or with at most r parts.
Received October 6 2003; revised version received February 11 2004. Published in Journal of Integer Sequences February 11 2004.