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On functional equations for Nielsen polylogarithms

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.


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
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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

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