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arxiv: 1001.1571 · v2 · pith:Q32FGSHEnew · submitted 2010-01-11 · 🧮 math.CO · math.NT· math.QA

Dedekind's eta-function and Rogers-Ramanujan identities

classification 🧮 math.CO math.NTmath.QA
keywords identitieseta-functionidentityrogers-ramanujanandrews-gordonconjecturededekindeven
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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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