FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 6, PAGES 63-89

Special values of generalized polylogarithms

S. A. Zlobin

Abstract

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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.

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Last modified: July 5, 2011