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arXiv:1001.1571 [math.CO]AbstractReferencesReviewsResources

Dedekind's eta-function and Rogers-Ramanujan identities

S. Ole Warnaar, Wadim Zudilin

Published 2010-01-11, updated 2010-01-22Version 2

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.

Comments: 14 pages
Journal: Bulletin of the London Mathematical Society 44 (2012), 1-11
Categories: math.CO, math.NT, math.QA
Subjects: 05A19, 05E05, 11F20, 33D67
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