From the 1 of 5 linked papers with an AI index.
12 citations · 12 across the 2 of their papers we have counts for
5 papers
Motivic correlators, cluster varieties and Zagier's conjecture on zeta(F,4)
Alexander B. Goncharov, Daniil Rudenko
The authors prove Zagier's conjecture on the value at s=4 of the Dedekind zeta‑function of a number field using motivic correlators, cluster varieties, and connections between alge…
The Goncharov Lie coalgebra of a field
Alexander Kupers, Daniil Rudenko, Ismael Sierra
This paper relates algebraic -theory of fields to polylogarithms via general linear groups. We introduce the Goncharov Lie coalgebra, defined in terms of the -homology…
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…
A property of trivalent graphs related to equidissections
Daniil Rudenko
Monsky proved that a square cannot be dissected into an odd number of triangles of equal area. Stein conjectured that the same holds for any polygon whose edges can be paired into…