Integral representation reveals new proof of Jacobi-Trudi formula for Schur polylogarithms, suggesting deeper links.
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.
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Yuta Kadono (2025) studied this question.
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