On functional equations for Nielsen polylogarithms
Number Theory
2019-08-14 v1 K-Theory and Homology
Abstract
We derive new functional equations for Nielsen polylogarithms. We show that, when viewed modulo and products of lower weight functions, the weight Nielsen polylogarithm 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.
Cite
@article{arxiv.1908.04770,
title = {On functional equations for Nielsen polylogarithms},
author = {Steven Charlton and Herbert Gangl and Danylo Radchenko},
journal= {arXiv preprint arXiv:1908.04770},
year = {2019}
}
Comments
36 pages, 3 figures