Overpartitions

Corteel, Sylvie; Lovejoy, Jeremy

doi:10.1090/S0002-9947-03-03328-2

Overpartitions
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by Sylvie Corteel and Jeremy Lovejoy PDF

Trans. Amer. Math. Soc. 356 (2004), 1623-1635 Request permission

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 $q$-series have natural interpretations in terms of overpartitions, we present an introduction to their rich structure as revealed by $q$-series identities.

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