Dedekind's eta-function and Rogers-Ramanujan identities

Details Dedekind's eta-function and Rogers-Ramanujan identities Dedekind's eta-function and Rogers-Ramanujan identities

2010-01-11

arxiv.org/abs/1001.1571v2

Bulletin of the London Mathematical Society 44 (2012), 1-11

Mathematics

Combinatorics

14 pages

Scientific paper

10.1112/blms/bdr019

We prove a q-series identity that generalises Macdonald's A_{2n}^{(2)}
eta-function identity and the Rogers-Ramanujan identities. We conjecture our
result to generalise even further to also include the Andrews-Gordon
identities.

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