Abstract

AbstractUp to now we discussed mainly Feynman integrals, which can expressed in terms of multiple polylogarithms. Multiple polylogarithms are an important class of functions for Feynman integrals, but not every Feynman integral can be expressed in terms of multiple polylogarithms. The next more complicated Feynman integrals are “elliptic Feynman integrals”. In this chapter we study these together with elliptic functions, elliptic curves, modular transformations and the moduli space of a genus one curve with n marked points.

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