Dedekind's η-function and Rogers-Ramanujan identities
Copyright policy )Dedekind's η-function and Rogers-Ramanujan identities
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.
14 pages
- University of Newcastle Australia Australia
- University of Queensland Australia
- University of Queensland Australia
Root Systems, Mathematics - Number Theory, Standard Modules, Algebras, Dedekind's η function, q series identity, Andrews Gordon identities, Mathematics - Quantum Algebra, 2600 Mathematics, FOS: Mathematics, Hall Littlewood Functions, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), Number Theory (math.NT), Rogers Ramanujan identities, 05A19, 05E05, 11F20, 33D67
Root Systems, Mathematics - Number Theory, Standard Modules, Algebras, Dedekind's η function, q series identity, Andrews Gordon identities, Mathematics - Quantum Algebra, 2600 Mathematics, FOS: Mathematics, Hall Littlewood Functions, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), Number Theory (math.NT), Rogers Ramanujan identities, 05A19, 05E05, 11F20, 33D67
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