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Duality Formulas of the Special Values of Multiple Polylogarithms
Author(s) -
Okuda JunIchi
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609304003996
Subject(s) - mathematics , duality (order theory) , connection (principal bundle) , mathematics subject classification , algebraic number , matrix (chemical analysis) , pure mathematics , algebra over a field , mathematical analysis , geometry , materials science , composite material
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. 2000 Mathematics Subject Classification 40B05 (primary), 33E20, 11M99 (secondary).