We prove a q-series identity that generalizes Macdonald's A(2)2n η-function identity and the Rogers–Ramanujan identities. We conjecture our result to generalize even further to also include the Andrews–Gordon identities.
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Bulletin of the London Mathematical Society following peer review. The definitive publisher-authenticated version Bulletin of the London Mathematical Society Vol. 44, Issue 1, p. 1-11 is available online at: http://blms.oxfordjournals.org/content/44/1/1