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arxiv: 1704.06137 · v1 · pith:7HLUWOKXnew · submitted 2017-04-20 · 🧮 math.CO

Overpartitions Identities Involving Gaps and Weights

classification 🧮 math.CO
keywords identityfunctiongapsoverpartitionsweightsalladianalogueconnects
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In this paper, we find an identity which connects the overpartition function and the function of Rogers--Ramanujan--Gordon type overpartitions by considering the weights and gaps. This identity can be seen as an analogue of the weighted identity of Alladi.

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