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Integral of two-loop modular graph functions

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arxiv 1905.06217 v2 pith:AU72RVGH submitted 2019-05-15 hep-th math.NT

Eric D'Hoker This is my paper · ORCID
classification hep-thmath.NT
keywords functionsgraphintegralmodulartwo-looparbitrarydomainevaluated
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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 Poincar\'e series for these functions.

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