Riemann–Hilbert problem for scalar Fuchsian equations and related problems

This paper is devoted to the Riemann–Hilbert problem for scalar Fuchsian equations: the problem of constructing a scalar Fuchsian equation from a representation of the monodromy and a family of singular points. The results of Bolibrukh [5], van der Put and Singer [7], and the author [10], generalized to a unified theorem provided with a new proof, form the main part of the paper. Some possible applications of these results are also discussed.
Bibliography: 16 titles.