This article is cited in 5 papers

Special values of generalized polylogarithms

S. A. Zlobin

M. V. Lomonosov Moscow State University

Abstract: The values of generalized polylogarithms at various points and their relationships are examined. A detailed investigation is given of the polylogarithms of small weight at the points $1/2$ and $-1$. A conjecture about the structure of the linear space generated by values of generalized polylogarithms is put forward.

UDC: 511.3

 English version: Journal of Mathematical Sciences (New York), 2012, 182:4, 484–504

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