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DUALITY FORMULAS OF THE SPECIAL VALUES OF MULTIPLE POLYLOGARITHMS

Published online by Cambridge University Press:  10 March 2005

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

Keywords

40B05 (primary)33E2011M99 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 2 , March 2005 , pp. 230 - 242
Copyright
© The London Mathematical Society 2005

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