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Identities related to integer partitions and complete Bell polynomials

open access: yes, 2017
Using the (universal) Theorem for the integer partitions and the q-binomial Theorem, we give arithmetical and combinatorial identities for the complete Bell polynomials as generating functions for the number of partitions of a given integer into k parts ...
Mihoubi, M., Belbachir, H.
core  

Enumeration of Concave Integer Partitions

open access: yes, 2004
An integer partition ` n corresponds, via its Ferrers diagram, to an artinian monomial ideal I C [x; y] with dim C C [x; y]=I = n. If corresponds to an integrally closed ideal we call it concave .
Jan Snellman, Michael Paulsen
core  

Set Partitions in R [PDF]

open access: yes
Robin K. S. Hankin, Luke J. West
core  

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