Enumeration of concave integer partitions

Details Enumeration of concave integer partitions Enumeration of concave integer partitions

2003-09-04

arxiv.org/abs/math/0309065v5

Journal of Integer Sequences, Vol. 7 (2004), Article 04.1.3

Mathematics

Combinatorics

8 pages. ver 2: Added reference to asymptotic estimate by Gert Almkvist. ver 3: Minor editing. ver 4: Added reference to Canfi

Scientific paper

An integer partition \lambda of 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 \lambda corresponds to an integrally closed ideal
we call \lambda concave. We study generating functions for the number of
concave partitions, unrestricted or with at most r parts.

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