Dedekind's η-function and Rogers–Ramanujan identities

Warnaar, S. Ole; Zudilin, W.

Dedekind's η-function and Rogers–Ramanujan identities

https://hdl.handle.net/1959.13/934771
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posted on 2025-05-09, 07:30 authored by S. Ole Warnaar, W. Zudilin

We prove a q-series identity that generalizes Macdonald's A<sup>(2)</sup><sub>2n</sub> η-function identity and the Rogers–Ramanujan identities. We conjecture our result to generalize even further to also include the Andrews–Gordon identities.

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DOI - Is published in https://doi.org/10.1112/blms/bdr019
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ISSN - Is version of https://portal.issn.org/resource/ISSN/0024-6093

Journal title

Bulletin of the London Mathematical Society

Volume

44

Issue

1

Pagination

1-11

Publisher

Oxford University Press

Language

en, English

College/Research Centre

Faculty of Science and Information Technology

School

School of Mathematical and Physical Sciences

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This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Bulletin of the London Mathematical Society following peer review. The definitive publisher-authenticated version Bulletin of the London Mathematical Society Vol. 44, Issue 1, p. 1-11 is available online at: http://blms.oxfordjournals.org/content/44/1/1

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Keywords

q series identity Dedekind's η function Rogers Ramanujan identities Andrews Gordon identities

Dedekind's η-function and Rogers–Ramanujan identities

History

Related Materials

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School

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