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Overpartition pairs

Jeremy Lovejoy — 2006

Annales de l’institut Fourier

An overpartition pair is a combinatorial object associated with the q -Gauss identity and the 1 ψ 1 summation. In this paper, we prove identities for certain restricted overpartition pairs using Andrews’ theory of recurrences for well-poised basic hypergeometric series and the theory of Bailey chains.

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