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arxiv: 1211.3702 · v2 · pith:ITCE75Q4new · submitted 2012-11-15 · 🧮 math.CO

The Refined Lecture Hall Theorem via Abacus Diagrams

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keywords theoremhalllectureabacusdiagramsrefinedbijectionbousquet-m
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Bousquet-M\'elou & Eriksson's lecture hall theorem generalizes Euler's celebrated distinct-odd partition theorem. We present an elementary and transparent proof of a refined version of the lecture hall theorem using a simple bijection involving abacus diagrams.

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