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math.AG2015★ 2 cited
On the functional equations for polylogarithms in one variable
Daniil Rudenko
We develop a new approach to the study of the functional equations satisfied by classical polylogarithms, inspired by Goncharov's conjectures. We prove a sharpened version of Zagie…
math.KT2015★ 4 cited
The Strong Suslin Reciprocity Law
Daniil Rudenko
We prove the strong Suslin reciprocity law conjectured by A. Goncharov. The Suslin reciprocity law is a generalization of the Weil reciprocity law to higher Milnor theory. The…