The Macdonald identities on affine root systems are placed in the context of Euclidean Lie algebras. This yields a simplified form of the identities, which is used to infer several results on the ...

Partition theory, a central branch of combinatorial number theory, concerns itself with the enumeration and properties of the ways in which integers may be decomposed into sums of positive integers ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...