arXiv:math/0307137 Abstract

arXiv:math/0307137 [math.CA]Abstract References Reviews Resources

Duality formulas of the Special Values of Multiple Polylogarithms

Published 2003-07-10, updated 2004-05-01Version 3

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.

Comments: 18 pages (in 12pt)

Categories: math.CA, math.NT

Subjects: 40B05, 33E20

Keywords: special values, multiple polylogarithms, duality formulas, multiple zeta values, linear relations

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