Special Values of Generalized Polylogarithms

Details Special Values of Generalized Polylogarithms Special Values of Generalized Polylogarithms

2007-12-11

arxiv.org/abs/0712.1656v1

Journal of Mathematical Sciences: Volume 182, Issue 4 (2012), Page 484-504

Mathematics

Number Theory

32 pages

Scientific paper

10.1007/s10958-012-0752-0

We study values of generalized polylogarithms at various points and
relationships among them. Polylogarithms of small weight at the points 1/2 and
-1 are completely investigated. We formulate a conjecture about the structure
of the linear space generated by values of generalized polylogarithms.

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