Dedekind's eta-function and Rogers-Ramanujan identities
Combinatorics
2012-02-28 v2 Number Theory
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1001.1571,
title = {Dedekind's eta-function and Rogers-Ramanujan identities},
author = {S. Ole Warnaar and Wadim Zudilin},
journal= {arXiv preprint arXiv:1001.1571},
year = {2012}
}
Comments
14 pages