"Riemann-Hilbert problems." . . "Théorème Plemelj." . . "Bolibruch, A. A." . . "Problemes de contorn." . . "Système différentiel complexe." . . "Riemann-Hilbert, Problèmes de." . . "Riemann-Hilbert, problèmes de." . "Riemann-Hilbert, Problemes de." . "Riemann, Variedades de." . . "Riemann-Hilbert-Problem." . . . . "Institut mathématique Stekloff (Russie, Fédération)," . . "Institut mathématique Stekloff (Russie, Fédération)" . "Problème Hilbert 21." . . "Système Fuchs." . . "Problème Riemann-Hilbert." . . "Zagadnienia Riemanna-Hilberta." . . "Hilbert, Problemas de." . . "Théorème Birkhoff-Grothendieck." . . "Anosov, D. V." . . . . . . "The Riemann-Hilbert problem : a publication from the Steklov institute of mathematics" . . . . "The Riemann-Hilbert Problem A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev" . . . . . . . . . . . . . . . . "The Riemann-hilbert Problem A Publication from the Steklov Institute of Mathematics Adviser: Armen Sergeev"@en . . . . . . . . "The Riemann Hilbert problem : a publication from the Steklov Institute of Mathematics" . . . . "The Riemann-Hilbert Problem : A Publication from the Steklov Institute of Mathematics" . . . "The Riemann-Hilbert problem"@en . "The Riemann-Hilbert problem" . "Electronic books"@en . . . . . . "The Riemann-Hilbert problem : a publication from the Steklov Institute of Mathematics" . . . . . . . . . . . . "This book is devoted to Hilbert's 21st problem (the Riemann-Hilbert problem) which belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concems the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this tumed out to be a rare case of a wrong forecast made by hirn. In 1989 the second author (A.B.) discovered a counterexample, thus 1 obtaining a negative solution to Hilbert's 21st problem. After we recognized that some \"data\" (singularities and monodromy) can be obtai ned from a Fuchsian system and some others cannot, we are enforced to change our point of view. To make the terminology more precise, we shaII caII the foIIowing problem the Riemann-Hilbert problem for such and such data: does there exist a Fuchsian system having these singularities and monodromy? The contemporary version of the 21 st Hilbert problem is to find conditions implying a positive or negative solution to the Riemann-Hilbert problem."@en . .