214 citations · 1.9k across the 30 of their papers we have counts for
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Elliptic polylogarithms and iterated integrals on elliptic curves I: general formalism
Johannes Broedel, Claude Duhr, Falko Dulat +1
We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarit…
Elliptic polylogarithms and iterated integrals on elliptic curves II: an application to the sunrise integral
Johannes Broedel, Claude Duhr, Falko Dulat +1
We introduce a class of iterated integrals that generalize multiple polylogarithms to elliptic curves. These elliptic multiple polylogarithms are closely related to similar functio…
Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes
Johannes Broedel, Nils Matthes, Gregor Richter +1
We consider a generalization of elliptic multiple zeta values, which we call twisted elliptic multiple zeta values. These arise as iterated integrals on an elliptic curve from whic…