Geodesic
Enumeration of concave integer partitions
Journal of integer sequences, Tome 7 (2004) no. 1.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: An integer partition $\lambda\vdash n$ corresponds, via its Ferrers diagram, to an Artinian monomial ideal $I \subset\Bbb C\lbrack x,y\rbrack$ with $\dim_{\Bbb C}\Bbb C\lbrack x,y\rbrack/I=n$. If $\lambda$ 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.
Classification : 05A17, 13B22
Keywords: integer partitions, monomial ideals, integral closure 
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Snellman, Jan; Paulsen, Michael. Enumeration of concave integer partitions. Journal of integer sequences, Tome 7 (2004) no. 1. http://geodesic.mathdoc.fr/item/JIS_2004__7_1_a3/