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The Riemann-Hilbert Problem - A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev (Paperback, 1994 ed.)
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The Riemann-Hilbert Problem - A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev (Paperback, 1994 ed.)
Series: Aspects of Mathematics, 22
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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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