The real analog of the Jacobi inversion problem on a Riemann surface with boundary, its generalizations, and applications

摘要

Given a finite Riemann surface of genus h a parts per thousand yen 1 with boundary composed of m+1 connected components we consider a system of m+h real congruences analogous to the classical Jacobi inversion problem. We provide a solution to this system and its applications to boundary value problems.