Duality formulas of the Special Values of Multiple Polylogarithms

Details Duality formulas of the Special Values of Multiple Polylogarithms Duality formulas of the Special Values of Multiple Polylogarithms

2003-07-10

arxiv.org/abs/math/0307137v3

Mathematics

Classical Analysis and ODEs

18 pages (in 12pt)

Scientific paper

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.

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