A Beukers-type integral representation for several types of multiple polylogarithms

In this paper, we give connections between various types of multiple polylogarithms and Beukers-type integrals. First, we provide an integral representation of interpolated Schur multiple polylogarithms of ribbon type using Beukers-type integrals. As an application of this representation, we offer a new proof of the Jacobi–Trudi formula for Schur multiple polylogarithms of ribbon type. Additionally, we discuss other types of multiple polylogarithms, such as those of level N and Hurwitz type.