Lecture Hall Theorems, q-series and Truncated Objects

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dc.creatorCorteel, S.
dc.creatorSavage, C. D.
dc.date2003-09-05
dc.date.accessioned2026-07-07T05:00:54Z
dc.date.available2026-07-07T05:00:54Z
dc.descriptionWe show here that the refined theorems for both lecture hall partitions and anti-lecture hall compositions can be obtained as straightforward consequences of two q-Chu Vandermonde identities, once an appropriate recurrence is derived. We use this approach to get new lecture hall-type theorems for truncated objects. We compute their generating function and give two different multivariate refinements of these new results : the q-calculus approach gives (u,v,q)-refinements, while a completely different approach gives odd/even (x,y)-refinements. From this, we are able to give a combinatorial characterization of truncated lecture hall partitions and new finitizations of refinements of Euler's theorem.
dc.identifierhttps://arxiv.org/abs/math/0309108
dc.identifierhttp://arxiv.org/abs/math/0309108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68488
dc.subjectCombinatorics
dc.subject05A17 05A15 05A30 33D15
dc.titleLecture Hall Theorems, q-series and Truncated Objects
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