EAN: 9783322929112

THE RIEMANN-HILBERT PROBLEM - A A BOLIBRUCH D V...

The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of
ordinary differential equations in the complex domain. The problem concerns the existence of a
Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a
system always exists. However  this turned out to be a rare case of a wrong forecast made by
him. In 1989 the second author (A. B.) discovered a counterexample  thus obtaining a negative
solution to Hilbert's 21st problem in its original form.

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