Duality formulas of the Special Values of Multiple Polylogarithms

Abstract

The special values of multiple polylogarithms, which including multiple zeta values, appear some fields of mathematics and physics. Many kinds of their linear relations are investigated as well as their algebraic relations. From the viewpoint of a connection matrix of Fuchsian equations, we derive two kinds of duality of these values.

18 pages (in 12pt)

Cited by in corpus (1)

• Representation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta values