30 citations · 50 across the 15 of their papers we have counts for
15 papers
The hexagon equations for dilogarithms and the Riemann-Hilbert problem
Shu Oi, Kimio Ueno
In this article we present the hexagon equations for dilogarithms which come from the analytic continuation of the dilogarithm to ${\mathbf P}^1 \setminus {0,1,\…
Fundamental solutions of the Knizhnik-Zamolodchikov equation of one variable and the Riemann-Hilbert problem
Shu Oi, Kimio Ueno
In this article, we derive multiple polylogarithms from multiple zeta values by using a recursive Riemann-Hilbert problem of additive type. Furthermore we show that this Riemann-Hi…
The inversion formula of polylogarithms and the Riemann-Hilbert problem
Shu Oi, Kimio Ueno
In this article, we set up a method of reconstructing to polylogarithms from zeta values via the Riemann-Hilbert problem. This is referred to as "a recurs…
Connection Problem of Knizhnik-Zamolodchikov Equation on Moduli Space
Shu Oi, Kimio Ueno
In this article, we consider the connection problem of the KZ (Knizhnik-Zamolodchikov) equation on the moduli space $\cM_{0,5}$, and show that the connection matrices are expressed…
Iterated integrals and relations of multiple polylogarithms
Shu Oi, Kimio Ueno
This is a summary for the authors' article "The formal KZ equation on the moduli space and the harmonic product of multiple zeta values" (prerint (2009) arXiv:…
KZ equation on the moduli space and the harmonic product of multiple polylogarithms
Shu Oi, Kimio Ueno
In this article, we derive a system of functional relations called the generalized harmonic product relations for hyperlogarithms on the moduli space and show…