Overpartitions |
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| Authors: | Sylvie Corteel Jeremy Lovejoy |
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| Institution: | CNRS, PRiSM, UVSQ, 45 Avenue des Etats Unis, 78035 Versailles Cedex, France ; CNRS, LABRI, Université Bordeaux I, 351 Cours de la libération, 33405 Talence Cedex, France |
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| Abstract: | We discuss a generalization of partitions, called overpartitions, which have proven useful in several combinatorial studies of basic hypergeometric series. After showing how a number of finite products occurring in  -series have natural interpretations in terms of overpartitions, we present an introduction to their rich structure as revealed by  -series identities. |
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