The Riemann-Hilbert Problem: A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev (Aspects of Mathematics, #22)

by D. V. Anosov and A. A. Bolibruch

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Book cover for The Riemann-Hilbert Problem

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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.
  • ISBN10 352806496X
  • ISBN13 9783528064969
  • Publish Date October 1994
  • Publish Status Active
  • Publish Country DE
  • Imprint Friedrich Vieweg & Sohn Verlagsgesellschaft mbH
  • Edition 1994 ed.
  • Format Hardcover
  • Pages 202
  • Language English