A Family of Partition Identities Proved Combinatorially |
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Authors: | Bressoud David M. Santos José Plínio O. Mondek Paulo |
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Affiliation: | (1) Department of Mathematics and Computer Science, Macalester College, St. Paul, Minnesota, 55105;(2) IMECC-UNICAMP C.P. 6065, 13081-970 Campinas, SP, Brazil;(3) CCET-UFMS C.P. 549, 79070-900 Campo Grande, MS, Brazil |
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Abstract: | We present three infinite families of partitions that, for corresponding parameters, are equinumerous. This generalizes an identity proved by the first author (Pacific Journal of Mathematics, 77(1) (1978)) and two identities proved by the second and third authors (Relatório Técnico 08/99 IMECC-UNICAMP, 1999). |
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Keywords: | partition identities |
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