Abstract
In this paper, we highlight two q-series identities arising from the "five guidelines" approach to enumerating lecture hall partitions and give direct, q-series proofs. This requires two new finite corollaries of a q-analog of Gauss's second theorem. In fact, the method reveals stronger results about lecture hall partitions and anti-lecture hall compositions that are only partially explained combinatorially.
Original language | English (US) |
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Pages (from-to) | 327-337 |
Number of pages | 11 |
Journal | International Journal of Number Theory |
Volume | 5 |
Issue number | 2 |
DOIs | |
State | Published - 2009 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory