4 citations · 8 across the 8 of their papers we have counts for
5 papers · 1 filter
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…
Representation of solutions of the Gauss hypergeometric equation by the multiple polylogarithms, functional relations of the multiple polylogarithms and relations of the multiple zeta values
Shu Oi
In this article, we express solutions of the Gauss hypergeometric equation as a series of the multiple polylogarithms by using iterated integral. This representation is the most si…