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paper

The Refined Lecture Hall Theorem via Abacus Diagrams

arXiv:1211.3702

Abstract

Bousquet-Mélou & 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.

11 pages; to appear in The Ramanujan Journal