4 papers · 1 filter
An integrality phenomenon
Florian Fürnsinn, Danylo Radchenko, Wadim Zudilin
We prove a general statement about the integrality of the sequences generated by a recursion of the following form: equals a linear combination of $u_{n-1},u_{n-2},\dots,u_0…
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…
The interaction as a Poincaré series, and a related shifted convolution sum
Kim Klinger-Logan, Stephen D. Miller, Danylo Radchenko
We complete the program, initiated in a 2015 paper of Green, Miller, and Vanhove, of directly constructing the automorphic solution to the string theory differential equa…