Special Values of Generalized Polylogarithms

Abstract

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.

32 pages

References in corpus (3)

• Harmonic sums, Mellin transforms and Integrals
• Mixed Tate Motives and Multiple Zeta Values
• Resolution of Some Open Problems Concerning Multiple Zeta Evaluations of Arbitrary Depth