Charlton, Steven and Gangl, Herbert and Radchenko, Danylo (2021) 'On functional equations for Nielsen polylogarithms.', Communications in number theory and physics., 15 (2). pp. 363-454.
Abstract
We derive new functional equations for Nielsen polylogarithms. We show that, when viewed moduloLi5 and products of lower weight functions, the weight 5 Nielsen polylogarithm S3,2 satisfies the dilogarithm five-term relation. We also give some functional equations and evaluations for Nielsen polylogarithms in weights up to 8, and general families of identities in higher weight.
| Item Type: | Article |
|---|---|
| Full text: | (AM) Accepted Manuscript Download PDF (625Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | https://doi.org/10.4310/CNTP.2021.v15.n2.a4 |
| Publisher statement: | Copyright © International Press. First published in Communications in Number Theory and Physics in 15:2 (2021), published by International Press. |
| Date accepted: | 13 January 2021 |
| Date deposited: | 29 October 2021 |
| Date of first online publication: | 18 June 2021 |
| Date first made open access: | 29 October 2021 |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
