Multipartition
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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.
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.
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 a i and the a i sum to n. The number of r-component multipartitions of n is denoted P r (n). Congruences for the function P r (n) have been studied by A. O. L. Atkin.
References
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