The inversion formula of polylogarithms and the Riemann-Hilbert problem

Details The inversion formula of polylogarithms and the Riemann-Hilbert problem The inversion formula of polylogarithms and the Riemann-Hilbert problem

2011-12-02

arxiv.org/abs/1112.0389v3

Mathematics

Quantum Algebra

5 pages, 2 figures

Scientific paper

In this article, we set up a method of reconstructing to polylogarithms
$\mathrm{Li}_k(z)$ from zeta values $\zeta(k)$ via the Riemann-Hilbert problem.
This is referred to as "a recursive Riemann-Hilbert problem of additive type."
Moreover, we suggest a framework of interpreting the connection problem of the
Knizhnik-Zamolodochikov equation of one variable as a Riemann-Hilbert problem.

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