English

Duality formulas of the Special Values of Multiple Polylogarithms

Classical Analysis and ODEs 2007-05-23 v3 Number Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0307137,
  title  = {Duality formulas of the Special Values of Multiple Polylogarithms},
  author = {Jun-ichi Okuda},
  journal= {arXiv preprint arXiv:math/0307137},
  year   = {2007}
}

Comments

18 pages (in 12pt)

R2 v1 2026-07-22T16:56:07.742Z