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The Riemann-Hilbert Problem
A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev
- Editore:
Vieweg+Teubner Verlag
- Collana:
- Aspects of Mathematics
- EAN:
9783322929112
- ISBN:
3322929116
- Pagine:
- 193
- Formato:
- Paperback
- Lingua:
- Tedesco
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Descrizione The Riemann-Hilbert Problem
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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