An iterative-bijective approach to generalizations of Schur's theorem

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We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colored partitions. These theorems imply a number of important results, including Schur's theorem, Bressoud's generalization of a theorem of Göllnitz, two of Andrews' generalizations of Schur's theorem, and the Andrews-Olsson identities.
16 pages

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Combinatorics, 11P81; 05A17

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http://salesiana.dossiersoluciones.com/handle/123456789/137681

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404508
 http://arxiv.org/abs/math/0404508
 Europ. J. Combin. 27 (2006), 496-512

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arXiv