Degeneration of polylogarithms and special values of \(L\)-functions for totally real fields (Q936121)

A conjecture of Zagier describes the values of \(L\)-functions of a number fields in terms of polylogs. The present paper uses the functoriality of the topological polylog on the universal abelian scheme over a Hilbert modular variety to describe the degeneration of certain Eisenstein classes in terms of special values of partial \(L\)-functions. The problem is reduced to explicit computations of Nori and Sczech, which are reproduced in the paper. The main result was also proved by Blottière, using different methods