In this article, we set up a method of reconstructing the polylogarithms Lik(z) from zeta values ζ(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-Zamolodchikov equation of one variable as a Riemann-Hilbert problem.
|Title of host publication||Springer Proceedings in Mathematics and Statistics|
|Publisher||Springer New York LLC|
|Number of pages||6|
|Publication status||Published - 2013|
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