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arxiv: 1702.03462 · v1 · pith:JGY6SVGYnew · submitted 2017-02-11 · 🧮 math.CO · math.NT

An overpartition analogue of partitions with bounded differences between largest and smallest parts

classification 🧮 math.CO math.NT
keywords boundeddifferenceslargestpartitionspartssmallestanalogousanalogue
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We study the generating function for overpartitions with bounded differences between largest and smallest parts, which is analogous to a result of Breuer and Kronholm on integer partitions. We also connect this problem with over $q$-binomial coefficients introduced by Dousse and Kim.

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