Bulletin of the London Mathematical Society



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DUALITY FORMULAS OF THE SPECIAL VALUES OF MULTIPLE POLYLOGARITHMS


JUN-ICHI OKUDA a1
a1 Department of Mathematical Sciences, School of Science and Engineering, Waseda University, 3-4-1, Okubo Shinjuku-ku, Tokyo 169-8555, Japan okuda@gm.math.waseda.ac.jp

Article author query
okuda j   [Google Scholar] 
 

Abstract

The special values of multiple polylogarithms, which include multiple zeta values, appear in several fields of mathematics and physics. Many kinds of their linear relations have been investigated, as well as their algebraic relations. In this paper, from the viewpoint of a connection matrix of Fuchsian equations, two kinds of duality of these values are derived.

(Received July 9 2003)
(Revised April 7 2004)

Maths Classification

40B05 (primary); 33E20; 11M99 (secondary).