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math.NT2022
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…
math.AG2022
Cluster Polylogarithms I: Quadrangular Polylogarithms
Andrei Matveiakin, Daniil Rudenko
We suggest a definition of cluster polylogarithms on an arbitrary cluster variety and classify them in type . We find functional equations for multiple polylogarithms which gene…