On q-series identities arising from lecture hall partitions

George E. Andrews, Sylvie Corteel, Carla D. Savage

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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 languageEnglish (US)
Pages (from-to)327-337
Number of pages11
JournalInternational Journal of Number Theory
Issue number2
StatePublished - 2009

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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