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

By Christine Bessenrodt

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

Publisher: Elsevier Science (USA).
Year: 2002
DOI identifier: 10.1006/jcta.2002.3267
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