# Riemann-Hilbert problem

1. Oct 8, 2009

### zetafunction

what potential applications has the Riemann-Hilbert problem?

is there more than one Riemann-Hilbert problem ? for example in Zeidler ' Quantum Field Theory' he defines the R-H problem as the solution of

$$F(x+iy)-F(x-iy)=g(x)$$

for a given g(x) and unknown F(z) HOlomorphic function

however Wikipedia http://en.wikipedia.org/wiki/Riemann–Hilbert_problem defines it into a different way, in some pages i heard it had to deal with renormalization in physics or something similar.