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Dedekind's η‐function and Rogers–Ramanujan identities

Dedekind's η‐function and Rogers–Ramanujan identities We prove a q‐series identity that generalizes Macdonald's A2n(2) η‐function identity and the Rogers–Ramanujan identities. We conjecture our result to generalize even further to also include the Andrews–Gordon identities. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Dedekind's η‐function and Rogers–Ramanujan identities

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References (36)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/bdr019
Publisher site
See Article on Publisher Site

Abstract

We prove a q‐series identity that generalizes Macdonald's A2n(2) η‐function identity and the Rogers–Ramanujan identities. We conjecture our result to generalize even further to also include the Andrews–Gordon identities.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Feb 1, 2012

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