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Proceedings of the Edinburgh Mathematical Society (1)

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Overpartitions and the q-Bailey identity
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Sylvie Corteel, Jeremy Lovejoy
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 52 / Issue 2 / June 2009

Published online by Cambridge University Press:

28 May 2009, pp. 297-306
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Using the framework of overpartitions, we give a combinatorial interpretation and proof of the q-Bailey identity. We then deduce from this identity a couple of facts about overpartitions. We show that the method of proof of the q-Bailey identity also applies to the (first) q-Gauss identity.