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arXiv 2003-09-04 0 views

Enumeration of concave integer partitions

Snellman, Jan · Paulsen, Michael

Original · EN

An integer partition λof n corresponds, via its Ferrers diagram, to an artinian monomial ideal I of colength n in the polynomial ring on two variables. If the partition λcorresponds to an integrally closed ideal we call λconcave. We study generating functions for the number of concave partitions, unrestricted or with at most r parts.

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