In number theory and combinatorics, a multipartition of a positive integer n is a way of writing n as a sum, each element of which is in turn an integer partition. The concept is also found in the theory of Lie algebras.
We don't have any images related to Multipartition yet.
You can add one yourself here.
We don't have any YouTube videos related to Multipartition yet.
You can add one yourself here.
We don't have any PDF documents related to Multipartition yet.
You can add one yourself here.
We don't have any Books related to Multipartition yet.
You can add one yourself here.
We don't have any archived web articles related to Multipartition yet.
r-component multipartitions
An r-component multipartition of an integer n is an r-tuple of partitions λ(1), ..., λ(r) where each λ(i) is a partition of some ai and the ai sum to n. The number of r-component multipartitions of n is denoted Pr(n). Congruences for the function Pr(n) have been studied by A. O. L. Atkin.
- George E. Andrews (2008). "A survey of multipartitions". In Alladi, Krishnaswami (ed.). Surveys in Number Theory. Developments in Mathematics. Vol. 17. Springer-Verlag. pp. 1–19. ISBN 978-0-387-78509-7. Zbl 1183.11063.
- Fayers, Matthew (2006). "Weights of multipartitions and representations of Ariki–Koike algebras". Advances in Mathematics. 206 (1): 112–144. CiteSeerX 10.1.1.538.4302. doi:10.1016/j.aim.2005.07.017. Zbl 1111.20009.