On Pairs of Partitions with Steadily Decreasing Parts Communicated by George Andrews

Abstract

AbstractA new generating function identity for special pairs of partitions with steadily decreasing parts is proved via a bijection. Viewing such pairs of partitions (or, more generally, special r-tuples of partitions) as coloured modular Young diagrams also allows to give bijective proofs for generating function identities due to Carlitz and Andrews