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The refined lecture hall theorem via abacus diagrams |
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| Authors: | Laura Bradford Meredith Harris Brant Jones Alex Komarinski Carly Matson Edwin O’Shea |
| Affiliation: | 1. Department of Mathematics, Phillips Exeter Academy, 20 Main St, Exeter, NH, 03833-246, USA 2. Department of Mathematics, North Carolina State University, Box 8205, Raleigh, NC, 27695-8205, USA 3. Department of Mathematics and Statistics, James Madison University, MSC 1911, Harrisonburg, VA, 22807, USA 4. Department of Mathematics, BASIS Phoenix, 11850 North 32nd Street, Phoenix, AZ, 85028, USA 5. Department of Mathematics, University of Colorado, Campus Box 395, Boulder, CO, 80309-0395, USA |
| 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. |
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