RiemannHilbert boundary-value problem for The Millennium Problems

The book "Riemann-Hilbert Boundary-Value Problem for The Millennium Problems" by Asset Durmagambetov offers an in-depth analysis of a complex mathematical problem within the context of the Millennium Problems. It specifically addresses the Poincaré-Riemann-Hilbert boundary value problem, which serves as a tool to construct effective estimates for solutions to the Cauchy problem of the Navier-Stokes equations. The author develops the foundations of three-dimensional inverse problems in quantum scattering theory and demonstrates how the unitary scattering operator can be viewed as a solution to the Poincaré-Riemann-Hilbert boundary value problem. Additionally, a method for reducing Riemann integral equations for the zeta function is presented, enabling precise estimates for the behavior of the zeta function's zeros. This specialized book is aimed at readers with an interest in mathematics and natural sciences and provides valuable insights into current mathematical issues.