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math.CA2013
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,\…
math.CA2013
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…