Evaluating multiple polylogarithm values at sixth roots of unity up to weight six
نویسندگان
چکیده
منابع مشابه
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 6= 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 o...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2017
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2017.03.026