Title: Determinant structure for tau-function of holonomic deformation of linear differential equations,
Abstract: In our previous works, a relationship between Hermite's two approximation
problems and Schlesinger transformations of linear differential equations has
been clarified. In this paper, we study tau-functions associated with holonomic
deformations of linear differential equations by using Hermite's two
approximation problems. As a result, we present a determinant formula for the
ratio of tau-functions (tau-quotient).