11 citations · 19 across the 14 of their papers we have counts for
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Multiple polylogarithms and the Steinberg module
Steven Charlton, Danylo Radchenko, Daniil Rudenko
We establish a connection between multiple polylogarithms on a torus and the Steinberg module of , and show that multiple polylogarithms of depth and weight can…
The Hopf algebra of formal multiple polylogarithms
Steven Charlton, Andrei Matveiakin, Danylo Radchenko +1
We define a Hopf algebra of polylogarithms of an arbitrary field, which is a candidate for a conjectural Hopf algebra of framed mixed Tate motives. Our definition is elementary and…
On the Goncharov Depth Conjecture and polylogarithms of depth two
Steven Charlton, Herbert Gangl, Danylo Radchenko +1
We prove the surjectivity part of Goncharov's depth conjecture. We also show that the depth conjecture implies that multiple polylogarithms of depth and weight can be expre…
Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4)
Alexander B. Goncharov, Daniil Rudenko
We prove Zagier's conjecture on the value at s=4 of the Dedekind zeta-function of a number field F. For any field F, we define a map from the appropriate pieces of algebraic K-theo…