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Enumeration of concave integer partitions

Jan Snellman·Michael Paulsen
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Abstract

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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Jan Snellman, Michael Paulsen. 2004-01-19. Enumeration of concave integer partitions. https://arxiv.org/abs/math/0309065

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