Integral of two-loop modular graph functions

Abstract

The integral of an arbitrary two-loop modular graph function over the fundamental domain for $SL(2,Z)$ in the upper half plane is evaluated using recent results on the Poincaré series for these functions.

arXiv comment19 pages, minor clarifications in revised version

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Cited by in corpus (1)

• Zero mode of the Fourier series of some modular graphs from Poincare series