On q-series identities arising from lecture hall partitions

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)327-337
Number of pages11
JournalInternational Journal of Number Theory
Volume5
Issue number2
DOIs
StatePublished - Jan 1 2009

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Q-series
Partition
Q-analogue
Gauss
Corollary
Theorem

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Andrews, George E. ; Corteel, Sylvie ; Savage, Carla D. / On q-series identities arising from lecture hall partitions. In: International Journal of Number Theory. 2009 ; Vol. 5, No. 2. pp. 327-337.
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On q-series identities arising from lecture hall partitions. / Andrews, George E.; Corteel, Sylvie; Savage, Carla D.

In: International Journal of Number Theory, Vol. 5, No. 2, 01.01.2009, p. 327-337.

Research output: Contribution to journalArticle

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