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...
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Published in | Nuclear physics. B Vol. 919; no. C; pp. 315 - 324 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
01.06.2017
Elsevier |
Online Access | Get full text |
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Summary: | 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 obtain a table for expressing them as linear combinations of the elements of the bases. |
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ISSN: | 0550-3213 1873-1562 |
DOI: | 10.1016/j.nuclphysb.2017.03.026 |