TY - GEN
T1 - The inversion formula of polylogarithms and the riemann-hilbert problem
AU - Oi, Shu
AU - Ueno, Kimio
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84883389328&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84883389328&partnerID=8YFLogxK
U2 - 10.1007/978-1-4471-4863-0_20
DO - 10.1007/978-1-4471-4863-0_20
M3 - Conference contribution
AN - SCOPUS:84883389328
SN - 9781447148623
VL - 40
SP - 491
EP - 496
BT - Springer Proceedings in Mathematics and Statistics
PB - Springer New York LLC
ER -