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  On functional equations for Nielsen polylogarithms

Charlton, S., Gangl, H., & Radchenko, D. (2021). On functional equations for Nielsen polylogarithms. Communications in Number Theory and Physics, 15(2), 363-454. doi:10.4310/CNTP.2021.v15.n2.a4.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0008-BD73-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-CAD1-3
Genre: Journal Article

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 Creators:
Charlton, Steven1, Author           
Gangl, Herbert1, Author           
Radchenko, Danylo1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory, K-Theory and Homology
 Abstract: We derive new functional equations for Nielsen polylogarithms. We show that,
when viewed modulo $\mathrm{Li}_5$ and products of lower weight functions, the
weight $5$ Nielsen polylogarithm $S_{3,2}$ 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.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 92
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1908.04770
DOI: 10.4310/CNTP.2021.v15.n2.a4
 Degree: -

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Title: Communications in Number Theory and Physics
Source Genre: Journal
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Publ. Info: International Press
Pages: - Volume / Issue: 15 (2) Sequence Number: - Start / End Page: 363 - 454 Identifier: -