Evaluating multiple polylogarithm values at sixth roots of unity up to weight six

We evaluate multiple polylogarithm values at sixth roots of unity up to weight six, i.e. of the form G(a1,…,aw;1) where the indices ai are equal to zero or a sixth root of unity, with a1≠1. For w≤6, we construct bases of the linear spaces generated by the real and imaginary parts of G(a1,…,aw;1) and...

Full description

Bibliographic Details
Main Authors: J.M. Henn, A.V. Smirnov, V.A. Smirnov
Format: Article
Language:English
Published: Elsevier 2017-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317301189